Question

Find the inverse of function f.

f(x)=9x+7
a. f^-1(x)=1/9x-7/9
b. f^-1(x)=7x+9
c. f^-1(x)=-9x-7
d. f^-1(x)=7/9x-1/9

Answer 1

To find the inverse of function f(x) = 9x + 7, swap x and y to get x = 9y + 7. Solve for y by isolating it on one side of the equation. The inverse of f(x) is f^-1(x) = (x - 7) / 9.

Step-by-step explanation:

To find the inverse of a function, we need to swap the roles of x and y.

Then, solve the resulting equation for y. For the function f(x) = 9x + 7, we can start by writing the equation as y = 9x + 7. Now, swap x and y to get x = 9y + 7. Next, solve for y by isolating it on one side of the equation.

Subtract 7 from both sides to get x - 7 = 9y. Finally, divide both sides by 9 to get y = (x - 7) / 9.

Therefore, the inverse of function f is f^-1(x) = (x - 7) / 9.