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

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Question 1169096: Suppose g(t) = 3t^2 - 2. How to find and simplify g(x+h)-g(x)/h?
Click here to see answer by josgarithmetic(39613)

Question 1169097: If f(x)=5/(4-x), determine f(x) - f(-6). Simplify completely.
Click here to see answer by josgarithmetic(39613)

Question 1169094: Suppose the function is f(x) = 3/x. Find and simplify f(a+h) - f(a).
Click here to see answer by josgarithmetic(39613)

Question 1169186: You can park in a a lot for 15$ an hour for at most 4 hours. A partial hour rounds to the nearest whole hour. find the function, domain and range.
I thought the function was y=15x and the domain was all real numbers.
Click here to see answer by Theo(13342)

Question 1169209: richard and teo have a combined age of 239. richard is 3 years older than twice teos age. how old are richard and teo?

Click here to see answer by josgarithmetic(39613)

Question 1169209: richard and teo have a combined age of 239. richard is 3 years older than twice teos age. how old are richard and teo?

Click here to see answer by MathTherapy(10549)

Question 1169209: richard and teo have a combined age of 239. richard is 3 years older than twice teos age. how old are richard and teo?

Click here to see answer by ikleyn(52747)

Question 1169210: An airplane is preparing to land at an airport. It is 52200 feet above the ground and is descending at the rate of 3300 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1169162: Ummm... I am wondering now if these second to the last two items which are the table of values in my first activity are functions or not?? Could somebody please solve these for me, thank you so much!! 🤔
x 2 4 6 8
f(x) 2 6 8 10
x 1 2 3 4
f(x) 1 4 9 16

Click here to see answer by Boreal(15235)

Question 1169265: 4x-7/5x+1≥2

Click here to see answer by greenestamps(13195)

Question 1169265: 4x-7/5x+1≥2

Click here to see answer by MathLover1(20849)

Question 1169312: Represent the speed of an athlete(A) as a function of the time (h) it takes to run 100 meters in the race track.
I don't know if I'm correct. I answered f(A)= 100/h.
Thank you so much.
Click here to see answer by ikleyn(52747)

Question 86080: -14 - 17 =
Click here to see answer by CoolRekt(53)

Question 1169492: Find the range of the function for the given domain.
f(x)=2x+8; {-2,-1,0,1,2}
Click here to see answer by ikleyn(52747)

Question 1169641: The domain of the function q(x) = x^4 + 4x^2 + 4 is [0,\infty). What is the range?
No matter what, I can't seem to get the right answer.
Click here to see answer by MathLover1(20849)

Question 1169661: Given F(x)= 3x-1 , find the following
F(k)
Click here to see answer by ikleyn(52747)

Question 1169704: Brandon owes his brother $100. He will repay his brother $5 each week.
Which expression gives the amount in dollars Brandon will still owe his brother after n weeks?
Ⓐ 5 - 100n
Ⓑ 100 - 5n
Ⓒ 5n - 100
Ⓓ 100n - 5
Click here to see answer by Boreal(15235)

Question 1169878: let f(x)=-2x^3+3x^2+36x over the closed interval (-3,5) what is the smallest critical point?
Click here to see answer by Boreal(15235)

Question 1169998: The problem I got incorrect:
Find inverse of h(x)=(3/4)x+12
My steps...
1) y = (3/4)x+12
2) (4/3)y = x+12
3) (4/3)y-12 = x
4) (4/3)x-12 = y
5) h^-1(x) = (4/3)x-12
Am told correct answer should be h^-1(x) = (4/3)(x-12).
Could someone explain the property I missed applying?
Thank you.
Click here to see answer by josgarithmetic(39613)

Question 1170033: Which of the following relations is a function?
A.
{(5,9),(−7,3),(−5,11),(7,9)}
B.
{(6,11),(−8,7),(6,4),(9,5)}
C.
{(−12,1),(4,9),(−12,8),(−4,15)}
D.
{(8,3),(8,0),(−8,13),(−8,17)}
Click here to see answer by Boreal(15235)

Question 1170089: ⅔^5x+2=3/2^2x
Click here to see answer by ikleyn(52747)

Question 1170137: g(x)=-4x+5 how do i find g(4)
Click here to see answer by MathLover1(20849)

Question 1170215: Given f(x) = tan(x) + 1 and g(x) = x^3
find f(g(g(x)))
Click here to see answer by Edwin McCravy(20054)

Question 1170203: Given f(x) = tan(x) + 1 and g(x) = x^3, find f(g(g(x)))
Click here to see answer by ikleyn(52747)

Question 1170202: h(x) = e^−√x.
Given h(x) = f(g(x)), decompose h(x) into its parts.
f(x) =
g(x) =

Click here to see answer by MathLover1(20849)

Question 1170264: Consider the following statement: Let f be a function, such that for all a and b in the domain of f, f(a)=f(b) implies a=b. Then the function f has an inverse.
Is this statement true or false?
Click here to see answer by ikleyn(52747)

Question 1170279: what goes in the blanks
the function y=x/tanx is a (blank) function
a. even
b. odd
c. neither odd nor even
the function y=secx/x is a (blank) function
a. even
b. odd
c. neither odd nor even
Click here to see answer by MathLover1(20849)

Question 1170306: (a) Let f(x): (-inf, 0) U (0 inf) --> R be defined by f(x) = x- (1/x)
Show that f(x) has no inverse function.
(b) Let g(x): (), inf) --> R be defined by gx) = x- (1/x)
Show that g(x) has an inverse function.

I don't understand this. Please help!
Click here to see answer by math_helper(2461)

Question 1170332: Match the functions with their periods.
Not all will be used.
3π------>?
2π/3------>?
π/3------>?
10π------>?
options for the ?:
y=2cos2x/3
y=6sin3x
y=-3tan3x
y=-2/3secx/5
y=-4cotx/4

Click here to see answer by ikleyn(52747)

Question 1170622: 𝑓(𝑥) = 3𝑥^5 − 5𝑥^3 defined on [-3, 3]
Identify the optimal point(s) of this function.
Find the global max and min points of this function.
Click here to see answer by MathLover1(20849)

Question 1170688: rewrite the equation y = -3|x -1| -3 as two linear functions f and g with restricted domains

Click here to see answer by josgarithmetic(39613)

Question 1170688: rewrite the equation y = -3|x -1| -3 as two linear functions f and g with restricted domains

Click here to see answer by ikleyn(52747)

Question 1170905: What is the midpoint of the line segment that has one endpoint as (9,-13) and the
other endpoint as (-4,5)?
Click here to see answer by Alan3354(69443)

Question 1170905: What is the midpoint of the line segment that has one endpoint as (9,-13) and the
other endpoint as (-4,5)?
Click here to see answer by Edwin McCravy(20054)

Question 1170910: Find the slope intercept form of the line whose slope is 4 and that passes through the points (5,-7). The equation is _______
Click here to see answer by josgarithmetic(39613)

Question 1170988: f(x)=|x| can you vertical stretch it by a factor of 4
Click here to see answer by MathLover1(20849)

Question 1171008: (a) Let f(x): (-inf, 0) U (0 inf) --> R be defined by f(x) = x- (1/x)
Show that f(x) has no inverse function.
(b) Let g(x): (), inf) --> R be defined by gx) = x- (1/x)
Show that g(x) has an inverse function.
I know I asked this question before, but I didn't really understand the answer, so can you please explain in detail? I don't really get inverse functions. A million thanks for your time.
Click here to see answer by ikleyn(52747)

Question 1171177: (x-2)/(x^(2)-4)+(1)/(x+2)=(1)/(x+2)

Click here to see answer by ikleyn(52747)

Question 1171240: What could this be? The question asks for it to be solved with square roots, but I am not sure.
10-3a^2=-2
Click here to see answer by Solver92311(821)

Question 1171362: Express the given function h as a composition of two functions f and g so that h(x)=(fog)(x) where one of the functions is 8x-9.
h(x)=(8x-9)^2
f(x) = ?
g(x) = ?
Click here to see answer by Boreal(15235)

Question 1171458: Write a linear function f with the values f(0)=2 and f(9)=4.
Click here to see answer by Boreal(15235)

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