1.

Mark (√) against the correct answer in the following:If f(x) = (x2 – 1) and g(x) = (2x + 3) then (g o f) (x) = ? A. (2x2 + 3) B. (3x2 + 2) C. (2x2 + 1) D. None of these

Answer»

Correct Answer is (C) (2x2 + 1) 

f(x) = (x2 – 1)

g(x) = (2x + 3)

∴(g o f) (x) = g(f(x))

\(\Rightarrow g(f(x))=2f(x)+3\)

\(\Rightarrow g(f(x))\)\(=2((x^2-1))+3\)\(=2x^2-2+3\)\(=2x^2+1\)



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