Question

If f(x)=2^x and g(x)=x-4. The graph of (fog)(x) is shown below. What is the range of (fog)(x)?

Answer 1

C)
`y > 0`

Explanation:

`f(x)=2^x\\\\g(x)=x-4\\\\(f\circ g)(x)=f(g(x))=f(x-4)=2^(x-4)`

This means that the parent function,
`f(x)=2^x`, will shift 4 units to the right along the x-axis, so this DOES NOT affect the range (nor the domain either). Thus,
`y > 0` would be the range.