Question

The function P(x)=2x+1 is dilated by the function I(x)=P(12x).Which function rule represents I(x)?

Answer 1

Solution:

Given:

$\begin{gathered} P(x)=2x+1 \\ I(x)=P(\frac{1}{2}x) \end{gathered}$

$\begin{gathered} I(x)=P(\frac{1}{2}x) \\ substituting\text{ }\frac{1}{2}x\text{ for }x\text{ into P\lparen x\rparen to get I\lparen x\rparen} \\ I(x)=2(\frac{1}{2}x)+1 \\ I(x)=x+1 \end{gathered}$

Therefore, I(x) = x + 1