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Mariana
2 months ago
11

Which of the following pairs of functions are inverses of each other?

Mathematics
2 answers:
babunello [11.8K]2 months ago
8 0

Answer: A

Step-by-step explanation: A P E X

babunello [11.8K]2 months ago
3 0

Answer:

Confirmed!

Step-by-step explanation:

For two functions, f(x) and g(x), to be inverses, they must fulfill the condition:

f(g(x)) = x and g(f(x)) = x.

Verification: A. f(x) = 7x³ + 10 and g(x) = ∛\frac{x - 10}{7}

Thus, f(g(x)) = 7(\sqrt[3]{(x- 10)/7})³ + 10.

This leads to: 7(\frac{x - 10}{7}) + 10 = x - 10 + 10 = x (*This is correct!)

Now, g(f(x)) = \sqrt[3]{((7x^3 + 10) - 10)/7}

When ten cancels out, we are left with:

\sqrt[3]{7x^3/7} = \sqrt[3]{x^3} = x (* This is also correct!)

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