Quantitative Aptitude – Algebra – Functions – If f(x) = (5x+2)/(3x-5)

Question

If f(x) = (5x+2)/(3x-5) and g(x) = x^2 – 2x – 1, then the value of g(f(f(3))) is

A) 2
B) 1/3
C) 6
D) 2/3

Option (A)

Solution

From CAT 2017 – Quantitative Aptitude – Algebra – Functions, we can see that,
f(3) = 17/4
f(17/4) = 3
g(3) = 2
Option (A)

CAT 2017 Questions from Quantitative Aptitude – Algebra – Functions

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