2 years ago

I need help pleaseeeeee nowplease

Mathematics

1 answer:

marysya [2.9K]2 years ago

6 0

This is a pretty complex problem

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

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First choice

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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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