3 years ago

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Mathematics

1 answer:

pychu [463]3 years ago

3 0

Answer:

Step-by-step explanation:

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Suppose that the functions g and f are defined as follows.

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Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

$\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x$

Calculating the value of $(\frac{g}{f})(2)$ :

$\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)$

$=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\$

x= $- \frac{\sqrt{3}}{2}$ and x= $\frac{\sqrt{3}}{2}$ are not in the domain.

Domain: $x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)$

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3 years ago

What is the slope of the line given by the equation 2x+3y=6

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Step-by-step explanation:

Rearrange the terms by writing

3y = -2x + 6 ---> y = (-2/3)x + 2

The slope of this equation is m = -2/3

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Estimate how many times large (6.1) x 10⁷ is than (2.1) x 10⁻⁴ ?

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Answer 300,000,000,000

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2 years ago

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On level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a

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$\frac{Actual}{Shadow}$ = $\frac{Actual}{Shadow}$
$\frac{12}{4}$ = $\frac{Actual₂}{12}$
Actual = 36 feet

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Simplify x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y²

LenaWriter [7]

Answer:

x-2y/x

Step-by-step explanation:

x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x

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2 years ago