3 years ago

Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2.

Mathematics

1 answer:

krok68 [10]3 years ago

5 0

Answer:

Do g(2) first: g(2) = -2*2 - 3 = -7

Put this into f: f(g(2)) = -(-7) + 4 = 7 + 4 = 11

Step-by-step explanation:

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Answer:

$y > \frac{3}{17}$

Step-by-step explanation:

To solve this problem, simply set the binomial, $5y - 1$ as greater than $\frac{3y - 1}{4}$ , and solve for the value of y as you would solve an equation.

Thus:

$5y - 1 > \frac{3y - 1}{4}$

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$4(5y - 1) > \frac{3y - 1}{4}*4$

$4*5y - 4*1 > 3y - 1$

$20y - 4 > 3y - 1$

Subtract 3y from both sides

$20y - 4 - 3y > 3y - 1 - 3y$

$17y - 4 > -1$

Add 4 to both sides

$17y - 4 + 4 > -1 + 4$

$17y > 3$

Divide both sides by 17

$\frac{17y}{17} > \frac{3}{17}$

$y > \frac{3}{17}$

Therefore, the value of y that will make the binomial $5y - 1$ greater than $\frac{3y - 1}{4}$ is $y > \frac{3}{17}$ .

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Step-by-step explanation:

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A square has a perimeter of 39.6 millimeters. What is the length of each side?

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9.9 millimeters

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