Given: f(x)=1-3x^2 and g(x)=√ 4 − x, find (f o g) (2) and (g o f) (-2), how do you solve this?

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This is a pre-calculus question from my book. Thanks if you can help me. I really need it.

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Answer 1 · 2018-03-10T03:02:45

Please see below.

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#f(x)=1-3x^2#

#g(x)=sqrt(4-x)#

#(f.g)(x)=(1-3x^2)(sqrt(4-x))#

#(f.g)(2)=(1-3(2)^2)(sqrt(4-2))=-11sqrt2#

#(g.f)(x)=sqrt(4-x)(1-3x^2)#

#(g.f)(-2)=sqrt(4-(-2))(1-3(-2)^2)=-11sqrt6#