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3 years ago

If f(x)=-2x+7 and g(x)=x^2 -2 find the general rule for f(g(x))

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

$f(g(x))=-2(x^2-2)+7=-2x^2+4+7=-2x^2+11$

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Answer:

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Step-by-step explanation:

Starting from $x^2+20=0$ , we do $x^2=-20$ , which means $x=\pm\sqrt{-20}$ , which can be written as $x=\pm\sqrt{(-1)(20)}$ , which gives us $x=\pm\sqrt{(-1)}\sqrt{(20)}$ , which we know is $x=\pm i \sqrt{(20)}$ , so our solutions are:

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Which can be approximated to:

$x\approx+4.472i$

$x\approx-4.472i$

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