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elena55 [62]
3 years ago
8

If(x)=4x+2 and g(x)=2x-4 what is f(g(x))

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer:

f(g(x)) = 8x-14

Step-by-step explanation:

You need to bring one inside the other so:

f(g(x)) = 4(2x-4) +2

f(g(x)) = 8x - 16 + 2 = 8x -14

instead of x in the f(x) function, you replace it with the function g(x)

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3 years ago
The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

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2 years ago
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Step-by-step explanation:

steps in attached illustration

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