If f(x) = 2x + 1 3x - 2 , then (fof)(2) is equal to - Vidyadip

MCQ

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

A
$1$
B
$3$
C
$4$
✓
$2$

✓

Answer

Correct option: D.

$2$

d
(d) Here $f(2) = \frac{5}{4}$

Hence $(fof)(2) = f(f(2)) = f\left( {\frac{5}{4}} \right) $

$= \frac{{2 \times \frac{5}{4} + 1}}{{3 \times \frac{5}{4} - 2}} = 2$.

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