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vladimir2022 [97]
3 years ago
5

Given that f(x) = x²-1, a) Find f(5) b) Find f-'(x) c) Find f-'(8)

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

step by step as shown

Step-by-step explanation:

f(x) = x²-1

f(5) = 5² - 1 = 24

f⁻¹(x)

y = x²-1

x = y² - 1    swap x and y

y² = x+1   ... x+1 ≥ 0      x≥-1

y = √x+1

f⁻¹(x) = √x+1

f⁻¹(8) =√8+1 = √9 = 3

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Answer:

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Step-by-step explanation:

Given equation:

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Solving for unknown variable a

Adding 8 both sides by additive property of equality.

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\sqrt{5a-5}=5

Squaring both sides to remove the square root.

(\sqrt{5a-5})^2=5^2

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Adding 5 both sides by additive property of equality.

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Dividing both sides by 6 to isolate a

\frac{5a}{5}=\frac{30}{5}

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Step-by-step explanation:

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