Question

What is the function of f(g(x)) if f(x)= x^2+1 and g(x)=3x

Answer 1

Step-by-step explanation:

For this composition function, $f(g(x))$, we should substitute $g(x)$ anytime we see an $x$ variable in $f(x)$:

$x^{2} + 1$

$[g(x)]^{2} + 1$

$(3x)^{2} + 1$

$9x^{2} + 1$