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:
C) [tex]y > 0[/tex]
Step-by-step explanation:
[tex]f(x)=2^x\\\\g(x)=x-4\\\\(f\circ g)(x)=f(g(x))=f(x-4)=2^{x-4}[/tex]
This means that the parent function, [tex]f(x)=2^x[/tex], will shift 4 units to the right along the x-axis, so this DOES NOT affect the range (nor the domain either). Thus, [tex]y > 0[/tex] would be the range.