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Let f(x) =x^(2) ,g(x)=tan x and h(x)=ln ...

Let f(x) =`x^(2)` ,g(x)=tan x and h(x)=ln x
What is [(fofof)](2)=

A

2

B

8

C

16

D

256

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to evaluate the expression \( f(f(f(2))) \) where \( f(x) = x^2 \). ### Step-by-Step Solution: 1. **Evaluate \( f(2) \)**: \[ f(2) = 2^2 = 4 \] 2. **Evaluate \( f(f(2)) \)**: \[ f(f(2)) = f(4) = 4^2 = 16 \] 3. **Evaluate \( f(f(f(2))) \)**: \[ f(f(f(2))) = f(16) = 16^2 = 256 \] Thus, the final result is: \[ f(f(f(2))) = 256 \] ### Final Answer: The value of \( f(f(f(2))) \) is \( 256 \).
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PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
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  2. Let f(x) =x^(2) ,g(x)=tan x and h(x)=ln x For x = sqrt(pi)/(2) what...

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  3. Let f(x) =x^(2) ,g(x)=tan x and h(x)=ln x What is [(fofof)](2)=

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  18. The domain of f(x) = (1)/(sqrt(x - 3)) is :

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  19. If f: R rarr S defined by f(x) = 4 sin x-3 cos x 1 is onto, then what ...

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