# CAT Practice : Functions

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What is fogoh ?

## Function of a function

Q.13: The value of fogoh(9) could be, if
f(x) = $\frac{1}{x}$
g(x) = $\frac{1}{(x-2)}$
h(x) = √x

1. 3
2. $\frac{1}{3}$
3. -5
4. None of these

Choice D. None of these

## Detailed Solution

fogoh(9) means f(g(h(9)))
Start by solving h(9) = √9 = 3 and not (3, -3) as square root of a number is always positive.
Taking the value to be 3, g(3) = $\frac{1}{(3-2)}$ = 1 =) f(1) = 1

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Functions.