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composite of functions
if f x 3x 5 and g x x 2 1...
Question:
medium
If $f(x) = 3x + 5$ and $g(x) = x^2 - 1$, then $(f \circ g)(x^2 - 1)$ is equal to:
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Be careful with nested substitutions. It is often safer to simplify the inner composition $f(g(x))$ first before plugging in the final variable expression.
KEAM - 2016
KEAM
Updated On:
May 2, 2026
$3x^4 - 3x + 5$
$3x^4 - 6x^2 + 5$
$6x^4 + 3x^2 + 5$
$6x^4 - 6x + 5$
$3x^2 + 6x + 4$
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The Correct Option is
B
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