Question

Find the inverse function of g(x) = 2x+4.

Answer 1

`g^(-1) (x)` = x/2 - 2

Explanation:

given:

g(x) = 2x+4

let y = g(x)

y = 2x+4 (rearrange to express x in terms of y, subtract 4 from both sides)

y - 4 = 2x (divide both sides by 2)

y/2 -2 = x (rearrange)

x = y/2 - 2

to find inverse, switch x and y

y = x/2 - 2

hence

`g^(-1) (x)` = y = x/2 - 2