Find the inverse of the following functions: F(x)=4x-5

Answer:To find the inverse of the function F(x) = 4x - 5, we follow a standard algebraic process that reverses the roles of input and output. The goal is to express x in terms of y, then rename the result as the inverse function.Here’s how it works:Start by replacing F(x) with y:   y = 4x - 5Swap x and y to begin finding the inverse:   x = 4y - 5Solve for y:   Add 5 to both sides: x + 5 = 4y   Divide both sides by 4: y = (x + 5)/4Rename y as F⁻¹(x) to indicate the inverse:   F⁻¹(x) = (x + 5)/4 This inverse function essentially “undoes” what the original function does. If F(x) multiplies by 4 and subtracts 5, then F⁻¹(x) adds 5 and divides by 4.Step-by-step explanation:

Answered by bubbles3788 | 2025-08-01