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

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

B.
`16x+8`

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* (2x+1)`

⇒
`16x+8`

Thus, we have,

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

Hence, option B is correct.