Question

Define f (x) = x2 – 3x + 2 and g(x) = |f (|x|)| then

Answer 1

Answer:

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Answer 2

Answer:

$g(x)=||x|^{2} -3|x|+2|$

Step-by-step explanation:

Given: $f(x)=x^{2} -3x+2$.

To find: $g(x)=|f(|x|)|$.

First we find $f(|x|)$.

For this replace $x$ by $|x|$ in f(x).

So, $f(|x|)=|x|^{2} -3|x|+2$

Now take modulus over $f(|x|)$ to get g(x).

Therefore, $g(x)=||x|^{2} -3|x|+2|$.

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