Question

are these functions inverse from each other?

Answer 1

This is how we can find the inverse of g(x) = x - 5/2

Replace g(x) with y.

y = (x - 5)/2

Swap x and y.

x = (y - 5)/2

Solve for y.

Multiply both sides by 2.

2x = y - 5

Add 5 to both sides.

2x + 5 = y

Replace y with g^-1(x)

g^-1(x) = 2x + 5