Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work.

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Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work.

Algebra
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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is my work right? F(x)=4x^2+x+1 G(x)=x^2-2 G(f(x))=(4x^2+X+1)^2-2 G(f(x))=16X^4+X^2+1^2+2.4X^2+X+2.4X^2+1+2X-2 G(f(x))= 16X^4 +8X^3+9x^2+2X-1

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Other answers:

\[\large \bf gof(x)=g(f(x))\] Simply put function f(x) into function g(x) in place of variable.
so 4x^2+x+1=x^2-2
nope Lemme tell you
\[\large \bf f(x)=4x^2+x+1\] \[\large \bf g(x)=x^2-2\] \[\large \bf g(f(x))=(4x^2+x+1)^2-2\] in additional , \[\large \bf f(g(x))=4(x^2-2)^2+(x^2-2)+1\]
hope you understand ! @Motown117
ok i see where i went wrong
:D
thank you for the clarification and the help
your welcome :)

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