CAT 2017 Slot 1 — QA Question 33

f(x) = (5x+2)/(3x-5), g(x) = x² – 2x – 1

f(3) = $\frac{5\times 3+2}{3\times 3-5}=\frac{17}{4}$

f(17/4) = $\frac{5\times {\displaystyle \frac{17}{4}}+2}{3\times {\displaystyle \frac{17}{4}}-5}$ = $\frac{85+8}{51-20}$ = $\frac{93}{31}$ = 3

g(3) = 3² – 2 × 3 – 1 = 2.

Hence, option (a).