Functions Question 501

Question: If $ f(x)=\frac{2x+1}{3x-2} $ , then $ (fof)(2) $ is equal to

[Kerala (Engg.) 2002]

Options:

A) 1

B) 3

C) 4

D) 2

Show Answer

Answer:

Correct Answer: D

Solution:

Here $ f(2)=\frac{5}{4} $ Hence $ (fof)(2)=f(f(2))=f( \frac{5}{4} )=\frac{2\times \frac{5}{4}+1}{3\times \frac{5}{4}-2}=2 $ .