Question

If g(x)=x^2-x, what is g(x+2)? please explain step by step.

Answer 1

g(x+2) means that x + 2 is going into g(x).

Explanation:

Given:

g(x) = x^2 - x

g(x + 2)

g(x+2) means that x + 2 is going into g(x)

x = x + 2

Substitute:

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

Solve:

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

= x^2 + 4x + 4 - (x + 2)

= x^2 + 4x + 4 - x - 2

Simplify:

g(x + 2) = x^2 + 3x + 2