Answer:
The inverse function [tex]g^{-1} (x) = 4x - 20[/tex]
Step-by-step explanation:
The given function is g(x) = 1/4 x + 5
Let's take g(x) = y
y = 1/4 x + 5
To find the inverse function, change x by y and y by x, we get
x = 1/4 y + 5
Now write the y interms of x.
Subtract 5 from both sides, we get
x - 5 = 1/4 y
Now isolate y.
y = (x - 5) ÷ (1/4)
y = 4(x - 5)
y = 4x - 20
Therefore, the inverse of g(x) is g^(-1) (x) = 4x - 20
Thank you.
