If $$ f(x)=x^{2}+1 $$ and $$ g(x)=x-4 $$, which value is equivalent to $$ (f \circ g)(10) $$ ? 37 97 126 606

Question

UpStudy AI · Accepted Answer

We are given:
$$
f(x)=x^2+1 \quad \text{and} \quad g(x)=x-4.
$$

To calculate $$ (f \circ g)(10) $$, we follow these steps:

1. First, find $$ g(10) $$:
$$
g(10) = 10 - 4 = 6.
$$

2. Next, substitute $$ g(10) $$ into $$ f(x) $$ to get $$ f(g(10)) $$:
$$
f(6) = 6^2 + 1 = 36 + 1 = 37.
$$

Thus, $$ (f \circ g)(10) = 37 $$.
$$ (f \circ g)(10) = 37 $$

If and , which value is equivalent to ?
37
97
126
606