Question

Given Ax)=2* and g(x)=x+1,(fºg)(x)=

Answer 1

Answer:

$(g)(x)=2^{x+\text{ 1}}$

Explanation:

$\begin{gathered} \text{Given that f(x) = 2}^x \\ g(x)\text{ = x + 1} \\ \text{ find (fog)(x)} \\ \text{This implies that we will substitute the value of x + 1 in the function f(x)} \\ (fog)(x)=2^{x\text{ + 1}} \\ \text{Therefore, (fog)(x) = 2}^{x\text{ + 1}} \end{gathered}$

The answer is option B