Question

functions and systems
variable expressions as inputs of functions: problem type 1
the function h is defined by h(x)=2x+2.
find h(x+2).
h(x + 2) =

Explanation:

Step1: Substitute \( x+2 \) into \( h(x) \)

Given \( h(x) = 2x + 2 \), replace \( x \) with \( x + 2 \). So we have \( h(x + 2) = 2(x + 2) + 2 \).

Step2: Distribute and simplify

First, distribute the 2 in \( 2(x + 2) \): \( 2(x + 2)=2x + 4 \). Then add 2: \( 2x + 4 + 2 = 2x + 6 \).

Answer:

\( 2x + 6 \)