Final answer:
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.