Question

The range of (fog)(x) is​

Answer 1

✔ y > 0.

Explanation:

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Answer 2

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

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)`.