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If f(x) = sqrtx , g(x) = root(3)(x+1) , ...

If `f(x) = sqrtx , g(x) = root(3)(x+1) , and h(x) = root(4)(x+2), " then "f(g(h(2)))=`

A

1.2

B

1.4

C

2.9

D

4.7

Text Solution

Verified by Experts

The correct Answer is:
A
Enter f into `Y_(1), g ` into `Y_(2)`, and h into `Y_(3)` . Then return to the Home Screen and evaluate `Y_(1)(Y_(2)(Y_(3)(2)))` to get the correct answer choice.
An alternative solution is to evaluate each function, starting with h in turn,
`sqrt((root(3)(root(4)(2+2)+1)))+sqrt("((4)^(1/4)+1)^(1/3)")~~1.2`
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