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3 years ago

Given the following functions f(x)

Mathematics

1 answer:

liq [111]3 years ago

6 0

<h3>Answer: x</h3>

============================================

Work Shown:

$g(x) = \frac{(x-1)^2}{3}\\\\g(f(x)) = \frac{(f(x)-1)^2}{3}\\\\g(f(x)) = \frac{(1+\sqrt{3x}-1)^2}{3}\\\\g(f(x)) = \frac{(\sqrt{3x})^2}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\$

The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.

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For this case we have:

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Where:

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valentina_108 [34]

Answer:

False

Step-by-step explanation:

Here is a counter example:

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Here is the answer to ur question :) Hope this helps!

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