If f ( x ) = x 2 − 1 and g ( x ) = 3 x + 1 , then ( g ∘ f ) ( x ) =

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If $f(x)=x^2-1$ and $g(x)=3 x+1$, then $(g \circ f)(x)=$

MathematicsFunctionsJEE Main

Options:

A $x^2-1$
B $2 x^2-1$
C $3 x^2-2$
D $2 x^2+2$

Solution:

2077 Upvotes Verified Answer

The correct answer is: $3 x^2-2$

$(g \circ f)(x)=3\left(x^2-1\right)+1=3 x^2-2$

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