Question

If f(x) = 4x + 5, which of these is the inverse of f(x)?​

Answer 1

To find the inverse of the function f(x) = 4x + 5, switch x and y in the equation, then solve for y to get the inverse function, which is f-1(x) = (x - 5) / 4.

Step-by-step explanation:

To find the inverse of the function f(x) = 4x + 5, you would follow these steps:

1. Replace f(x) with y: y = 4x + 5.
2. Switch the roles of x and y: x = 4y + 5.
3. Solve the equation for y to find the inverse function:

• Subtract 5 from both sides: x - 5 = 4y.
• Divide by 4: y = (x - 5) / 4.

The inverse function is: f-1(x) = (x - 5) / 4.

This inverse function will satisfy the condition that f(f-1(x)) = x and f-1(f(x)) = x, which is the defining property of an inverse function.

Answer 2

A

Step-by-step explanation:

y=4x+5

x=4y+5

4y+5=x

4y+5-5=x-5

4y=x-5

4y/4= x/4 - 5/4

y= x-5/4