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Ray Of Light [21]
3 years ago
9

What is the difference quotient of the function g(x) = 4^x

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

First choice

Step-by-step explanation:

The difference quotient in general is  \frac{g(x+h)-g(x)}{h}. To get an expression for  g(x+h), replace  x  with x + h.

For this question,

\frac{4^{x+h}-4^x}{h}=\frac{4^x\cdot4^h-4^x}{h}

Factor  4^x out of the numerator.

\frac{4^x(4^h-1)}{h}

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