3 years ago

Add the polynomials. (5x2−8x+8)+(6x3−5x) The sum is_____. (Simplify answer.)

1 answer:

4 0

The simplified answer is <span>(5x2−8x+8)+(6x3−5x) If you need the steps, I recommend you use Cymath.com it's super easy and great for math!</span>

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Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
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f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
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f(~~g(2)~~)=\cfrac{127}{9}$

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3 years ago

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3 years ago

Add the polynomials. (5x2−8x+8)+(6x3−5x) The sum is_____. ​(Simplify answer.)

Add the polynomials. (5x2−8x+8)+(6x3−5x) The sum is_____. (Simplify answer.)