If f(x) = x^2 - 1 and g(x) = 3x + 1, then (gof)(x) = - Vidyadip

MCQ

If $f(x) = {x^2} - 1$ and $g(x) = 3x + 1$, then $(gof)(x) = $

A
${x^2} - 1$
B
$2{x^2} - 1$
✓
$3{x^2} - 2$
D
$2{x^2} + 2$

✓

Answer

Correct option: C.

$3{x^2} - 2$

c
(c) $(gof)\,(x) = 3\,({x^2} - 1) + 1 = 3{x^2} - 2.$

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