For all positive numbers x, the function g is defined as g(x) = 1x. What is the result of g(g(4) + g( 15))?

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Functions

For all positive numbers x, the function g is defined as $g(x) = \frac{1}{x}$ . What is the result of $g(g(4) + g(\frac{1}{5}))$ ?

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4/21

Correct

1/4

4/1

9/4

9/1

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Explanation

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Official Explanation

Official

The function g is defined for all positive numbers x by

g(x) = \frac{1}{x}

. We need to find the value of

g(g(4) + g(\frac{1}{5}))

. First, we calculate

g(4) = \frac{1}{4}

and…

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Comments

ChinmayaJul 16, 2024

Thank you very much!

AryamanJan 10, 2024

thank you for sharing

What this question tests

What it tests

Your ability to evaluate and compose functions, including unusual defined operations.

Common trap

Applying function operations in the wrong order or ignoring domain restrictions.

For all positive numbers x, the function g is defined as g(x)=1xg(x) = \frac{1}{x}g(x)=x1​. What is the result of g(g(4)+g(15))g(g(4) + g(\frac{1}{5}))g(g(4)+g(51​))?