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Ierofanga [76]
3 years ago
10

Last question, please help a friend out haha thanks :D

Mathematics
1 answer:
hjlf3 years ago
4 0
 Ax + By = C

3x + 2y = 12

A=3, B = 2 and C = 12
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How are the graphs of the functions f(x) = √16^x and g(x) =3√64^x related?
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Answer:- The functions f(x) and g(x) are equivalent.


Explanation:-

Given functions:- f(x)=\sqrt{16^x} and g(x)=\sqrt[3]{64^x }

Simplify the functions by using law of exponents

(a^n)^m=a^{nm}

Thus f(x)=\sqrt{16^x}=\sqrt{(4^2)^x}=\sqrt{4^{2x}} =\sqrt{(4^x)^2}=4^x

and g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x

⇒f(x)=g(x)

Therefore ,the functions f(x) and g(x) are equivalent.

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Step-by-step explanation:

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