Let \(f:\mathbb{R}\rightarrow \mathbb{R}

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Home Questions GG33AT438X

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let $f:\mathbb{R}\rightarrow \mathbb{R}$ be defined by $f(x)=x^2+1$, Then pre-image of $17$ is

Options:

$\{4,-4\}$

$\{3,-3\}$

$\{2,-2\}$

None of these

Correct Answer:

$\{4,-4\}$

Explanation:

$f(x)=x^2+1⇒f(x)=17=x^2+1$

$⇒x^2=16⇒x±4$

$⇒x∈\{4,-4\}$