Answer:
First choice
Step-by-step explanation:
The difference quotient in general is [tex]\frac{g(x+h)-g(x)}{h}[/tex]. To get an expression for [tex]g(x+h)[/tex], replace x with x + h.
For this question,
[tex]\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}[/tex]
Factor [tex]4^x[/tex] out of the numerator.
[tex]\frac{4^x(4^h-1)}{h}[/tex]
