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3 years ago

12

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points)

1 answer:

Salsk061 [2.6K]3 years ago

8 0

F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.

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gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

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3 years ago

Mrs. Cashmere brought a large melon, she sees that waited 1 1/8.And gave it to her neighbor. The remaining pieces of melon waite

bixtya [17]

Answer:

0.375 pounds of melon was given away by Melanie.

Step-by-step explanation:

We are given the following in the question:

Initial weight of melon =

$1\dfrac{1}{8}\text{ pounds}$

Wait of remaining piece =

$\dfrac{6}{8}\text{ pounds}$

Pounds of melon Melanie gave away =

Initial weight of melon - Wait of remaining piece

$= 1\dfrac{1}{8} - \dfrac{6}{8}\\\\=\dfrac{9}{8}-\dfrac{6}{8}\\\\=\dfrac{3}{8} = 0.375\text{ pounds}$

Thus, 0.375 pounds of melon was given away by Melanie.

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