CPM Homework Help : A2C Problem 13-83

If $f\left(x\right) = 2x^{2} − 3$ and $g\left(x\right) = x + 1$ , find $f\left(g\left(x\right)\right)$ .

Hint:

Substitute $g\left(x\right)$ for $x i$ n $f\left(x\right)$ .

$f\left(g\left(x\right)\right) = 2\left(x + 1\right)^{2} − 3$

Answer:

$f\left(g\left(x\right)\right) = 2x^{2} + 4x − 1$