Functions $f, g : R \to R$ are defined,

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Target Exam

CUET

Subject

Section B1

Chapter

Relations and Functions

Question:

Functions $f, g : R \to R$ are defined, respectively, by $f(x) = x^2 + 3x + 1$, $g(x) = 2x - 3$, find $gog$.

Options:

$4x - 6$

$4x - 9$

$2x - 6$

$4x^2 - 12x + 9$

Correct Answer:

$4x - 9$

Explanation:

The correct answer is Option (2) → $4x - 9$ ##

Given that, $f(x) = x^2 + 3x + 1, g(x) = 2x - 3$

$g og(x) = g\{g(x)\} = g(2x - 3)$

$= 2(2x - 3) – 3$

$= 4x - 6 - 3 = 4x – 9$