If f(x) = (5x+2)/(3x-5) and g(x) = x2 – 2x – 1, then the value of g(f(f(3))) is:
Explanation:
f(x) = (5x+2)/(3x-5), g(x) = x2 – 2x – 1
f(3) = 5×3+23×3-5=174
f(17/4) = 5×174+23×174-5 = 85+851-20 = 9331 = 3
g(3) = 32 – 2 × 3 – 1 = 2.
Hence, option (a).
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