Question

The range of (fog)(x) is​

Answer 1

Answer:  

✔ y > 0.

Step-by-step explanation:

edg 2021

Answer 2

Answer:

The range of $f\circ g \,(x) = 2^{x+1}$ is $Ran\{f\circ g\,(x)\} = (0, +\infty)$.

Step-by-step explanation:

Let $f\circ g \,(x) = 2^{x+1}$, $\forall\, x \in \mathbb{R}$. The graphic represents a power function, whose lower bound is the horizontal asymptote $y=0$. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).

Hence, the range of $f\circ g \,(x) = 2^{x+1}$ is $Ran\{f\circ g\,(x)\} = (0, +\infty)$.