# college alg

the function f(x)=6x+9/3x-7

find the inverse and check answer

f^-1(x)=?

please show work

1. 👍
2. 👎
3. 👁
1. I have a strong feeling you meant
f(x) = (6x+9)/(3x-7)

if so, let
y = (6x+9)/(3x-7)
inverse:
x = (6y+9)/(3y-7)

solving that for y ....

3xy - 7x = 6y+9
3xy - 6y = 7x+9
y(3x - 6) = 7x+9
y = (7x+9)/(3x-6)

f^-1 (x) = (7x+9)/(3x-6)

check:
f(0) = 9/-7
f^-1(-9/7) = (7(-9/7) + 9)/(3(-9/7)-6)
= 0/...
= 0

(This does not prove that my answer is correct, but shows a very strong probability that it is correct)

1. 👍
2. 👎

## Similar Questions

1. ### Algebra

Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) Which statement best explains whether an inverse variation function is the best model for the data?

2. ### Functions - math

The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a

3. ### Calculus Help

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter

4. ### calculus

Suppose f is a one-to-one, differentiable function and its inverse function f^−1 is also differentiable. One can show, using implicit differentiation (do it!), that (f^−1)′(x)=1 / f′(f^−1(x)) Find (f^−1)′(−6) if

1. ### Algebra - Can you PLEASE check - I"m stuck!

Bob is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days: F(N)=10(1.02)^n 1. Starting from 0 days, plug x-values into our function to

2. ### Calculus, check my answers, please! 3

Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f –1 that is

3. ### Calculus (Please check my work!)

Suppose that y = f(x) = x^2 - 4x + 4. Then on any interval where the inverse function y = f-1(x) exists, thederivative of y = f-1(x) with respect to x is: (Hint: x^2 - 4x + 4 can be factored and rewritten as "something" squared.)

4. ### Trigonometry

Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then

1. ### Calculus derivative

Find the slope and an equation of the tangent line to the graph of the function f at the specified point. f(x)=-1/3x^2+5x+5: (-1, -1/3) Answer: f’(x)=-2/3x + 5 y=-2/3x -1 I re-worked the problem and got f'(x)=5, y=5x+ 14/3 This

2. ### inverse

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

3. ### Algebra

what is the inverse of the linear parent function? How would you graph the inverse and what are the values for the inverse???

4. ### Algebra

Dan works at a hardware store. The employee discount is determined by the formula d = 0.15 (c − 10 ). Use the inverse of this function to find the cost of the item for which Dan received an \$18.00 discount. a. Find the inverse