GATE | Sudo GATE 2020 Mock III (24 January 2019) | Question 2

The value of f∘g∘h(9) could be, if

f(x) = 1 /x
g(x) = 1 /(x−2)
h(x) = √x 

(A) 3
(B) 1/3
(C) -5
(D) None of these.


Answer: (D)

Explanation:

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) = 1(3−2) = 1 
=> f(1) = 1 

So, option (D) is correct.

Quiz of this Question

My Personal Notes arrow_drop_up
Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.