Question

Help! You can see the question in the attached image.

Answer 1

Option (2)

Range → (0, ∞)

Explanation:

Given functions are f(x) =
`2^(x)` and g(x) = x + 1

Therefore, composite function (f o g)(x) will be,

(f o g)(x) = f[g(x)]

=
`2^(x+1)`

Therefore, Option (2) will be the answer.

This function is defined for every value of x.

But from the graph attached,

y-values vary between 0 to infinity (Excluding 0)

Therefore, range of the function will be (0, ∞)