3 years ago

X squared minus 4X minus 32 / x squared + 7x + 12

1 answer:

7 0

(x² - 4x - 32) / (x² +7x +12)
factor both the numerator and denominator
[(x-8)(x+4)] / [(x+3)(x+4)]
Since (x+4) is in both the numerator and denominator, it can be cancelled out:

(x-8)/(x+3) is the simplified form

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What is the product? (x-5)(2x+3x-1)

Firlakuza [10]

I assume the first term of the trinomial is 2x^2, and you left out the exponent.

Multiply each term of the binomial by each term of the trinomial.
Then collect like terms.

$(x - 5)(2x^2 + 3x - 1) =$

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Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = eight divided by square root of quantity two x plus

MaRussiya [10]

$\bf y=f[\ g(x)\ ]=\cfrac{8}{\sqrt{2x+4}}\\\\
-------------------------------\\\\
\begin{cases}
f(x)=\cfrac{8}{\sqrt{x}}\\\\
g(x)=2x+4
\end{cases}\qquad f[\ \underline{g(x)}\ ]=\cfrac{8}{\sqrt{\underline{g(x)}}}\implies f[\ \underline{g(x)}\ ]=\cfrac{8}{\sqrt{\underline{2x+4}}}$