Look at this inequality.

Mathematics

1 answer:

Bas_tet [7]2 years ago

3 0

Answer:2.8

Step-by-step explanation:

2.8

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) g(x) = (-7x-8)/(x-1) I'm runni

Sphinxa [80]

$f(x)=\frac{x-8}{x+7} \\
g(x)=\frac{-7x-8}{x-1} \\ \\
f(g(x))=\frac{\frac{-7x-8}{x-1}-8}{\frac{-7x-8}{x-1}+7}=\frac{\frac{-7x-8}{x-1}-\frac{8(x-1)}{x-1}}{\frac{-7x-8}{x-1}+\frac{7(x-1)}{x-1}}=\frac{\frac{-7x-8}{x-1}-\frac{8x-8}{x-1}}{\frac{-7x-8}{x-1}+\frac{7x-7}{x-1}}=\frac{\frac{-7x-8-8x+8}{x-1}}{\frac{-7x-8+7x-7}{x-1}}= \\ =\frac{\frac{-13x}{x-1}}{\frac{-13}{x-1}}=\frac{-13x}{(x-1)} \times \frac{(x-1)}{-13}=x \\ \Downarrow \\ f(g(x))=x \\
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$g(f(x))=\frac{-7(\frac{x-8}{x+7})-8}{\frac{x-8}{x+7}-1}=\frac{\frac{-7(x-8)}{x+7}-\frac{8(x+7)}{x+7}}{\frac{x-8}{x+7}-\frac{1(x+7)}{x+7}}=\frac{\frac{-7x+56}{x+7}-\frac{8x+56}{x+7}}{\frac{x-8}{x+7}-\frac{x+7}{x+7}}= \\
=\frac{\frac{-7x+56-8x-56}{x+7}}{\frac{x-8-x-7}{x+7}}=\frac{\frac{-15x}{x+7}}{\frac{-15}{x+7}}=\frac{-15x}{(x+7)} \times \frac{(x+7)}{-15}=x \\ \Downarrow \\ g(f(x))=x \\ \checkmark$

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3 years ago

What is the slope of a line that passes through points (2, 4) and (5, 8)?

Luda [366]

Answer:

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Step-by-step explanation:

(4-8)/(2-5) = -4/-3 = 4/3

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Can y’all help me me on question 2?! Have a good day!

AfilCa [17]

Answer:

Step-by-step explanation:

The formula to get the area of a triangle is A= $\frac{(b)(h)}{2}$ so all you have to do is work backwards. 18x2=36. 36/4=9.

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a cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What's the volume of a cord of wood in cubic feet?

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