Question

What is the inverse of the function? (f(x) = 14x + 10)?

a. (f^-1(x) = 4x - 40)
b. (f^-1(x) = 10x + 4)
c. (f^-1(x) = 14x - 10)
d. (f^-1(x) = -4x - 10)

Answer 1

The inverse function of f(x) = 14x + 10 is f^-1(x) = (x - 10) / 14.

Step-by-step explanation:

The inverse function of f(x) = 14x + 10 can be found by swapping the x and y variables and solving for y. Here's how:

1. Replace f(x) with y: y = 14x + 10
2. Swap x and y: x = 14y + 10
3. Solve for y: x - 10 = 14y
4. Divide both sides by 14: y = (x - 10) / 14

So, the inverse function of f(x) = 14x + 10 is f^-1(x) = (x - 10) / 14. Therefore, the correct option is a. (f^-1(x) = 4x - 40).