Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1082033: Given the function f(x)=2x+3, simplify f(x+h)-f(x) divided by h ; is not equal to o.
Click here to see answer by josgarithmetic(39618)

Question 1082055: How many negative roots does the function f(x)=4x^5+6x^3-2x^2+8x+11 have?
Click here to see answer by solver91311(24713)

Question 1082213: Please help me solve this question: giv aformula for exponential function in the the from f(x)=C*a^x passing through each pair of points. a) (0,13) & (4,31213) and b) (1,16) & (3,9).
Thank you
Click here to see answer by natolino_2017(77)

Question 1082254: Can someone please help me solve this problem: In 2000 the population of a town was 35000. In 2010 it was 50000. Find an exponential model of the form f(t)=A base 0 e^kt for this population, where t is time in years since 2000. I also need help finding K but I think you have to use Ln logarithm but I am not sure.
Please and Thank you!
Click here to see answer by josmiceli(19441)

Question 1082381: If f(x) = 4x, and f(x + 2) � f(x) = k f(x), then what is the value of k?
Click here to see answer by josgarithmetic(39618)

Question 1082600: `Can someone please help me solve this problem: In 2000 the population of a town was 35000. In 2010 it was 50000. Find an exponential model of the form f(t)=A base 0 e^kt for this population, where t is time in years since 2000. I also need help finding K but I think you have to use Ln logarithm but I am not sure.
B) what year would the population reach 100,000?

Click here to see answer by rothauserc(4718)

Question 1082597: Pleas help me solve and understand the this problem: A biologist is studying a fish. she uses the fishes length in cm L to estimate the fishes age in years T according to the formula T=19-5ln(53-L)
a) estimate the age of a 35 cm fish
b) according to the formula what length should a 10yr old fish be.
pleas include steps when solving the problem.
Click here to see answer by rothauserc(4718)

Question 1082791: A model rocket is launched from the roof of a building with height h0. For height h, in meters, and time t, in seconds, after the rocket is launched, the height of the rocket above the ground is given by
h=f(t)=−5t^2+50t+40.

Report any noninteger answers accurate to 2 decimal places.
Note: Due to the dynamic nature of this question, the graph may not be exactly to scale.
(a) What is the height, in meters, of the building?

(b) When will the rocket hit the ground?

(c) When will the rocket be 25 meters in the air?

(d) Your response Correct response

Click here to see answer by solver91311(24713)

Question 1082884: Given: f(x)=8-5x
A. Find f(-2)
B. Find x, when f(x)=8
C. State the domain and range of the function

Click here to see answer by Edwin McCravy(20056)

Question 1083067: Find the intercepts of the absolute value function
f(x)=|x-1|-9
Click here to see answer by solver91311(24713)

Question 1083169: 5x - 4y = 8
write as a function of x
I don't understand "function of x"
Click here to see answer by Boreal(15235)

Question 1083169: 5x - 4y = 8
write as a function of x
I don't understand "function of x"
Click here to see answer by MathLover1(20850)

Question 1083232: Given functions, f(x)=-x square plus 16 and g(x)=x plus 4
1.sketch the graph of f and g on the same set of axes
Click here to see answer by Boreal(15235)

Question 1083374: Suppose a ferris wheel has a diameter of 80 ft and the rider completes one cycle in 55 seconds. What is the speed of the ferris in ft/s?
Click here to see answer by Alan3354(69443)

Question 1083373: Without graphing, determine the amplitude, period, domain and range of the function y=-2.3sin(5x)+7
Click here to see answer by Alan3354(69443)

Question 1083375: The height of a saw tooth in inches after time in seconds is represented by the function y=0.3sin(30x+1.5)-0.1 for t>0. Without graphing the function, determine the range that the saw tooth covers.
Click here to see answer by Boreal(15235)

Question 1083412: What is the inverse of f(x)= 4x-3/2?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1083437: A function g is defined
g(x)=-x^2+2
The domain of g is all real numbers
Which of the following is not in the range of g(x)=-x^2+2
A -4
B 0
C 2
D 4
Click here to see answer by jim_thompson5910(35256)

Question 1083440: How do I find the domain of the function g(x)=-x^2, and how do I find the domain/range of an equation in general?
Click here to see answer by Boreal(15235)

Question 1083327: What is the value of f(g(9)) if f(x)=4x^2-6 and g(x)=x-3
Click here to see answer by josgarithmetic(39618)

Question 1083327: What is the value of f(g(9)) if f(x)=4x^2-6 and g(x)=x-3
Click here to see answer by ikleyn(52794)

Question 1083502: r(x)= x-6 s(x)=2x^2 write the expressions for (r+s)(x) and (r-s)(x) and evaluate (r*s)(2).
Click here to see answer by Alan3354(69443)

Question 1083573: If x varies indirectly as y, and y varies directly as z, what is the relationship between x and z
Click here to see answer by MathLover1(20850)

Question 1083573: If x varies indirectly as y, and y varies directly as z, what is the relationship between x and z
Click here to see answer by ikleyn(52794)

Question 1083376: Suppose a dirt bike race is taking place on a flat surface 5 m above the ground. Suppose one of the bike wheels has a radius of 26.2 cm and it has a nail stuck in it. What is the maximum height that the nail obtains in cm with respect to the ground?
Click here to see answer by math_helper(2461)

Question 1083870: hey :) having a problem with
if f(x)= 4x squared-2 , find f(a+3)
where do I start?
Click here to see answer by Alan3354(69443)

Question 1083894: Evaluate -a - 12a 2 for a = -1
Click here to see answer by josgarithmetic(39618)

Question 1083925: Find an equation of the line
a) With a slope of 0 and a y-intercept of 10.
b) With an undefined slope and an x-intercept of -3.
c) With a positive slope and a negative y-intercept.
Click here to see answer by josgarithmetic(39618)

Question 1083924: Suppose we are given two functions, say r(x) and s(x).
a) Is it true that r(x) + s(x) = s(x) + r(x) for all values of x? Why or why not? Give an
example.
b)Is it true that r(x) − s(x) = s(x) − r(x) for all values of x? Why or why not? Give an
example.
Click here to see answer by Theo(13342)

Question 1083936:
Click here to see answer by Alan3354(69443)

Question 1084105: Which of the following has the least value for all values of x in the interval -1 < x < 0 ?
A) x^3 B) x^2 C) -|x| D) -(sqrt (-x)) E) -x

Click here to see answer by Fombitz(32388)

Question 1084087: For the real-valued functions g(x)=x+4/x+5 and h(x)=4x+7, find the composition g∘h and specify its domain using interval notation.

Click here to see answer by josgarithmetic(39618)

Question 1084204: write an equation of a line (standard form) passing through A (-3,5) and perpendicular to a line passing through C (6,2) and D (1,3)
help...
Click here to see answer by josmiceli(19441)

Question 1084167: F(x)= (3x+2)/(x+7)
P=(1, 5/8)
Equation of the tangent line to the graph of f at p.
Click here to see answer by Boreal(15235)

Question 1084328: Is (-2,-1),(1,-6),(5,-1),(8,-9),(11,8) a function? How can I determine by just looking at this?
Click here to see answer by Boreal(15235)

Question 1084364: let f (x)=16^x , g(x)=x/2 , and h(x)=(1/8)^x. Find ((f○g)/h)*(x)) and simplify.
Click here to see answer by MathLover1(20850)

Question 1083980: Compare the two functions described below.
Function 1: Originally there were 40 people living at Schondel City. The city�s population is growing and the amount of people living in the city triples daily!
Function 2: y = 15 � 0.8^x
Click here to see answer by MathLover1(20850)

Question 1084363: 　Graph f(x)=2^(x+2) as solid line and draw its inverse as dotted line. Then write the inverse in function notation.
Click here to see answer by josgarithmetic(39618)

Question 1084428: jim's burgers sell for $1.80 each.
unit cost is $.95
weekly fixed cost is $475.00 for restaurant
how many burgers must be sold per week for a profit to be made?
Click here to see answer by josmiceli(19441)

Question 1084549: For a x in the domain of the function (x+2)/(x^3-x), this function is equivalent to:
F) (1/x^2-1)+(2/x^3-x) G) (2/x^2-1) H) (1/x^2-1) J) (1/x-1) K) (1/x+1)
I got G by doing (x+2)/x(x^2-1) and cancelling out the x's, but the actual answer is F. How do I get F?
Click here to see answer by Boreal(15235)

Question 1084545: Consider the functions f(x) = sqrt x-1 and g(x) = ax+b. In the standard (x,y) coordinate plane, y = f(g(x)) passes through (0,1) and (2,3). What is the value of a+b?
So far I have f(g(x)) = sqrt (ax+b) -1, slope = 2, y-3 = sqrt(2x-5). Now I don't know what to do or if I am even doing it correctly.
Click here to see answer by rothauserc(4718)

Question 1084544: given f(x)=√2x-1 and g(x)= x^2+1,x grater then or equal to 0
1.without finding the formula for f^-1,find f^-1(5)
2.find f^-1(x) and g^-1(x)
3.give range of f^-1(x) and give the domain of g^-1(x)
4.express (g o f)(x) in simplified form
Click here to see answer by MathLover1(20850)

Question 1084542: for the function g(x)=-1+log2(x-5)
(i) find g^-1(x)
(ii) sketch the graph of g(x) and g^-1(x) on the same coordinate axes showing the asymptotes and intercepts
Click here to see answer by stanbon(75887)

Question 1084768: what is the domain of f?
f(x)=2x-5
Click here to see answer by josmiceli(19441)

Question 1084842: x = {(2, 3), (2, 4), (2, 5), (2, 6)}
The domain of x is?

Click here to see answer by MathLover1(20850)

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