Question

What is the inverse function of g(x) = 1/4 x + 5 ?

Answer 1

The inverse function
`g^(-1) (x) = 4x - 20`

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.