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

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Question 1034162: If 9(x-9)=-11, then x=?
Click here to see answer by fractalier(6550)

Question 1034349: -5e^x/2 solve this question i am confusing?
Click here to see answer by solver91311(24713)

Question 1034362: 5e(sqrt)x/2
Click here to see answer by fractalier(6550)

Question 1034440: Find the domain of the following:
a)f(x) =| 1 − x^2 | + 1
b) f(x) = √9 − x^2
c) f(x) = 2^(4−x^2)
For a is the domain the set of all real numbers because it is absolute? For b I will get √(x+3) (x-3) but then I am not sure what to do given the sqrt. And for c...I have no idea lol it would be 2^ (x+2) (x-2)? but then I'm not sure.
Thank you for your help :)
Click here to see answer by ikleyn(52752)

Question 1034446: 6. Let f =
{
| 4 − x^2 if x ≤ 2
| x^3 − 2x^2 + a, if x > 2
{
Find the value of a that will make f continuous on (−∞, ∞).
So here is what I did:
lim 4-(-2)^2 = 0
x-> -2
lim 4-(2)^2 = 0
x-> 2
lim 2^3 - 2(2)^2 + a = a?
x-> 2+
Does this make sense? I'm not sure how to do this
Click here to see answer by stanbon(75887)

Question 1034427: (SLOPE- INTERCEPT FORM)
(-1, -10), M=3
Click here to see answer by Alan3354(69443)

Question 1034477: If f(X)=|3x|
And with following transformation
f(x-1)
Can the answer be like the followings?
f(X)=3|x-1|
f(X)=|3(X-1)|
Or
f(X)=|3x-3|
Which one should I suppose to write? Or which one is correct?
Click here to see answer by josgarithmetic(39613)

Question 1034428: Find an equation of variation where y varies directly as x for each pair of values given.
a. y=3 when x=24
b. y=50 when x=25
Click here to see answer by FrankM(1040)

Question 1034429: Find an equation of variation where y varies inversely as x for each pair of values given.
a. y=2/3 when x=27
b. y=4 when x=8
Click here to see answer by Alan3354(69443)

Question 1034533: a gardener is planning two types of rose bushes. a pink rose bush is theee feet tall and grows at a rate of 15 inches per year. a red rose bush is four feet tall and grows at a rate of 10 inches per year.
algebraically determine exactly how many years it will take for these two bushes to be the same height.
Click here to see answer by jorel555(1290)

Question 1034538: the distance a free falling object has traveled can be modeled by the equation d= 1/2 at^2, where a is acceleration due to gravity and t is the amount of time the object has fallen. what is t in terms of a and d?
Click here to see answer by Alan3354(69443)

Question 1034584: The function f(x) is defined for 1 <= x <= 5 as follows:
f(x) =
2x + 1 if 1 <= x <= 2,
7 - x & if 2 < x <= 3,
10 - 2x if 3 < x <= 4,
10 - x if 4 < x <= 5.
Find all real numbers x such that f(x) = x.
If you find more than one answer, list them all, separated by commas.
Click here to see answer by stanbon(75887)

Question 1034587: Given the function f(x)=6x^2+x-4. Calculate the following functions.
f(x+1)=
f(-x)=
Click here to see answer by stanbon(75887)

Question 1034589: Let h(x)=1/x^2
Find h(x+8)=
Find h(x)+8=
Find h(x)+h(8)=

Click here to see answer by stanbon(75887)

Question 1034594: Let f(x)=x^3+5x^2 and g(x)=2x^2-5.
f/g is undefined when x=
Note:Give your answer as a comma separated list.
Click here to see answer by stanbon(75887)

Question 1034592: Let f(x)=4x+2 and g(x)=3x^2+3x.
Find (fg)(5)=
Click here to see answer by stanbon(75887)

Question 1034600: Given that f(x)=x^2-3x and g(x)=x+10, find
f+g=
f-g=
f*g=
f/g=
Click here to see answer by stanbon(75887)

Question 1034617: How do you find the inverse for f(x)=(x-2)^2+3

Click here to see answer by addingup(3677)

Question 1034616: Find the rules for the composite functions (g ◦ f)(x) and (f ◦ g)(x)
b) If f(x) = 4 − 4x + x^2 and g(x) = x^2/x − 4
Click here to see answer by Theo(13342)

Question 1034644: What is the period of ?
Here .
Here {.} is the fractional part function.
Please give the solution of the problem.
Click here to see answer by Edwin McCravy(20054)

Question 1034679: Let f(x)=4x+2 and g(x)=3x^2+3x.
(f*g)(5)=
Click here to see answer by fractalier(6550)

Question 1034678: Given the functions f(x)=x^2 and g(x)=sqrt(x),evaluate the following:
(f+g)(7)=
(f+g)(18)=
(f+g)(-18)=

Click here to see answer by fractalier(6550)

Question 1034681: Let f(x)=4x+4 and g(x)=2x^2+4x. After simplifying,
(f+g)(x)=
Click here to see answer by fractalier(6550)

Question 1034585: The function h(x) is defined as:
h(x) =
[4x] if x <= pi,
3-x if pi < x <= 5.2,
x^2 if 5.2< x.
Find h(h(sqrt(2))).
Click here to see answer by fractalier(6550)

Question 1034684: Let f(x)=3x^2-7x+5 and g(x)=x^2+4. Find f+g,f-g,f*g, and f/g. Simplify your answers.
f+g=
f-g=
f*g=
f/g=
Click here to see answer by MathLover1(20849)

Question 1034591: Given the functions f(x)=x^2 and g(x)=sqrt(x), evaluate the following:
(f+g)(7)=
(f+g)(18)=
(f+g)(-18)=
Click here to see answer by fractalier(6550)

Question 1034603: Let q(x)=3-x^2.Evaluate and simplify the following:
q(5)=
q(r)=
q(r-5)=
q(r)-5=
Click here to see answer by fractalier(6550)

Question 1034676: Let q(x)=3-x^2. Evaluate and simplify the following:
q(5)=
q(r)=
q(r-5)=
q(r)-5=
q(r)-q(5)=
Click here to see answer by fractalier(6550)

Question 1034695: F(X)=4X from x1= 0 to x2=3
Click here to see answer by fractalier(6550)

Question 1034683: Given that f(x)=x^2-3x and g(x)=x+10, find
f+g=
f-g=
f*g=
f/g=
Click here to see answer by fractalier(6550)

Question 1034685: The cost of making 10 chairs is $340. The cost of making 22 chairs is $520.
What is the cost per chair?

Write a linear equation that tells you the total cost,
C
C, of making
x
x chairs:
C
=
C=
Preview
If your total cost is $730, how many chairs did you make?

Click here to see answer by fractalier(6550)

Question 1034590: Let q(x)=3-x^2. Evaluate and simplify the following:
q(5)=
q(r)=
q(r-5)=
q(r)-5=
q(r)-q(5)=
Click here to see answer by fractalier(6550)

Question 1034711: How do you find the domain using interval notation on this function: 3x^(2)+2x+1/x(x+3)
Click here to see answer by fractalier(6550)

Question 1035038: Given the function f(x)=4x^2+8x-2. Calculate the following values:
f(x+1)=
f(-x)=
Click here to see answer by stanbon(75887)

Question 1034887: Given that f(x)=|x| and g(x)=2x-4, calculate
f◦g(x)=
g◦f(x)=
f◦f(x)=
g◦g(x)=
Click here to see answer by Edwin McCravy(20054)

Question 1035047: If $100 is invested at 4% compounded quarterly, what is the interest earned after:
3 years(interest earned)=
5 years(interest earned)=
Click here to see answer by Theo(13342)

Question 1035043: Let f(x)=2x^2-7x+5 and g(x)=x^2+4. Find f*g. Simplify your answers if possible.
f*g=
Click here to see answer by Cromlix(4381)

Question 1035041: Let f(x)=5x+2 and g(x)=2x^2+3x.
(f*g)(7)=
Click here to see answer by Cromlix(4381)

Question 1035039: Let f(x)=x^2+7 and g(x)=x^2+4. Find the following functions, and simplify each as much as possible: your final answer should be a polynomial with only one term in each power of x.
f(x)+g(x)=
f(x)-g(x)=
f(x)g(x)=
f(x)/g(x)=
Click here to see answer by Cromlix(4381)

Question 1035037: Let q(x)=5-x^2 , Evaluate and simplify the following:
q(3)=
q(r)=
q(r-3)=
q(r)-3=
q(r)-q(3)=
Click here to see answer by Cromlix(4381)

Question 1035115: Let f(x)=x^3+7x^2 and g(x)=10x^2-11.
f/g is undefined when
x=
Click here to see answer by Edwin McCravy(20054)

Question 1035040: Let f(x)=x^3+7x^2 and g(x)=10x^2-11. f/g is undefined when
x=
Click here to see answer by Amrata1(11)

Question 1034949: Please help me with this problem:
Suppose + 2x and is the inverse of . Evaluate and '.
Click here to see answer by solver91311(24713)

Question 1034949: Please help me with this problem:
Suppose + 2x and is the inverse of . Evaluate and '.
Click here to see answer by robertb(5830)

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