Find q(p(x)) p(x)=-2x+1 , q(x)=2x-1

$p (x) = - 2 x + 1$ , $q (x) = 2 x - 1$

Step 1

Set up the composite result function.

$q (p (x))$

Step 2

Evaluate $q (- 2 x + 1)$ by substituting in the value of $p$ into $q$ .

$q (- 2 x + 1) = 2 (- 2 x + 1) - 1$

Step 3

Simplify each term.

Apply the distributive property.

$q (- 2 x + 1) = 2 (- 2 x) + 2 \cdot 1 - 1$

Multiply $- 2$ by $2$ .

$q (- 2 x + 1) = - 4 x + 2 \cdot 1 - 1$

Multiply $2$ by $1$ .

$q (- 2 x + 1) = - 4 x + 2 - 1$

Step 4

Subtract $1$ from $2$ .

$q (- 2 x + 1) = - 4 x + 1$