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AleksandrR [38]
3 years ago
8

Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

9x^{2} -34

Step-by-step explanation:

Use the given functions to set up and simplify 2F(1)-3G.3.

The point in the middle between 3G and 3 is a multiplication sign btw

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The remainder from the division of the algebraic equation is -53/8.

<h3>What is the remainder of the algebraic expression?</h3>

The remainder of the algebraic expression can be determined by using the long division method.

Given that:
\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}

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Using the long division method, we have:

\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}

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Learn more about the division of algebraic equations here:

brainly.com/question/4541471

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