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Arisa [49]
3 years ago
13

If f(x)=2x and g(x)=x^2 -1, which statement is true?

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer: D

<u>Step-by-step explanation:</u>

f(x) = 2x     g(x) = x² - 1

f(g(x)) = 2(x² - 1)

         = 2x² - 2

g(f(x)) = (2x)² - 1

         = 4x² - 1

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What are the dimensions of a rectangle with an area of 12 square cm and a perimeter of 14 cm?
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Answer:

For the rectangle

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Substitute b=12ℓ from first equation

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Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ

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Step-by-step explanation:

For the rectangle

Length=ℓ

Breadth=b

Area is 12 cm2

ℓb=12

Perimeter is 16 cm

2(ℓ+b)=16

ℓ+b=8

Substitute b=12ℓ from first equation

ℓ+12ℓ=8

ℓ2+12=8ℓ

ℓ2−8ℓ+12=0

Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ

ℓ=−(−8)±√(−8)2−(4×1×12)2×1

ℓ=8±√162

ℓ=8±42

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ℓ2=8−42

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use ratios or proportions
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