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

What is the difference quotient of the function g(x) = 4^x-example-1
User Eran Abir
by
6.6k points

2 Answers

6 votes

Answer:

The answer is A the first option

Explanation:

Just took the unit review and got a 100

User Weiling
by
6.9k points
4 votes

Answer:

First choice

Explanation:

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

For this question,


(4^(x+h)-4^x)/(h)=(4^x\cdot4^h-4^x)/(h)

Factor
4^x out of the numerator.


(4^x(4^h-1))/(h)

User Cosmin Prund
by
7.1k points
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