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Question 13 of 25
Find f(-2) for f(x) = 2(4)^x

Question 13 Of 25 Find F2 For Fx 24x class=

Sagot :

Answer:

the answer is A

Step-by-step explanation:

put it in the calculator

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

When you have a negative exponent like [tex](\frac{a}{b})^{-x}[/tex] you simply take the reciprocal and then the denominator takes the exponent. So it becomes [tex]\frac{b}{a^{x}}[/tex].

So now you simply plug -2 as x. This gives you [tex]2(4)^{-2}[/tex]. and 4 is essentially [tex]\frac{4}{1}[/tex]. So it becomes [tex]\frac{1}{4^2}[/tex] which is [tex]\frac{1}{16}[/tex]. So multiplying it by 2 you get [tex]\frac{2}{16}[/tex]. Which can be written as [tex]\frac{2}{8 * 2}[/tex] so the 2's cancel out and the fraction becomes [tex]\frac{1}{8}[/tex]

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