Question

If f(x) = 8x and 2 +1$g(x) = 2x$, find $(f$°x)$g)($
A. 16x + 1
B. 16x + 8
C. 16x^2 + 8x
D. 10x + 1

Answer 1

Answer:

B. $16x+8$

Step-by-step explanation:

We have, $f(x)=8x$ and $g(x)=2x+1$.

It is required to find $f\circ g(x)$.

Substituting the functions, we get,

$f\circ g(x)$

⇒ $f(g(x))$

⇒ $f(2x+1)$

⇒ $8\times (2x+1)$

⇒ $16x+8$

Thus, we have,

$f\circ g(x)$ = $16x+8$.

Hence, option B is correct.