If $f(x)=x^2-2$ and $g(x)=x-3$ , what is $(f@g)(x)$ ?

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Answer 1 · 2018-03-21T01:28:15

The answer is $(x-3)^2-2$

$(fog)(x)$

Substitute g(x)

$=f(x-3)$

Plug the value of x into f(x) equation

$=(x-3)^2-2$

If needed, you can also factor out the $(x-3)^2$ part.

If f(x)=x^2-2f(x)=x^2-2 and g(x)=x-3g(x)=x-3, what is (f@g)(x)(f@g)(x)?