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Mathematics Functions MCQ Questions for Class 12 General

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Question 61/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=x+2), तो (f(x)-2) क्या होगा?

If (f(x)=x+2), what is (f(x)-2)?

Explanation opens after your attempt

Correct Answer

A. (x)

Step 1

Concept

(f(x)) का मान (x+2) है। / The value of (f(x)) is (x+2).

Step 2

Why this answer is correct

(f(x)-2=(x+2)-2)। / (f(x)-2=(x+2)-2).

Step 3

Exam Tip

सरल करने पर (x) मिलता है। / Simplifying gives (x).

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Question 62/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=2x-1), तो (f(x+1)) क्या होगा?

If (f(x)=2x-1), what is (f(x+1))?

Explanation opens after your attempt

Correct Answer

A. (2x+1)

Step 1

Concept

(x) के स्थान पर (x+1) रखें। / Replace (x) by (x+1).

Step 2

Why this answer is correct

(f(x+1)=2(x+1)-1=2x+2-1)। / (f(x+1)=2(x+1)-1=2x+2-1).

Step 3

Exam Tip

सरल करने पर (2x+1) मिलता है। / Simplifying gives (2x+1).

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Question 63/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=x^-2), तो (f(x+1)-f(x)) क्या होगा?

If (f(x)=x^-2), what is (f(x+1)-f(x))?

Explanation opens after your attempt

Correct Answer

A. (2x+1)

Step 1

Concept

(f(x+1)=(x+1)²) और (f(x)=x^-2)। / (f(x+1)=(x+1)²) and (f(x)=x^-2).

Step 2

Why this answer is correct

अंतर ((x+1)²-x^-2) होगा। / The difference is ((x+1)²-x^-2).

Step 3

Exam Tip

सरल करने पर \(x^2+2x+1-x^2=2x+1\)। / Simplifying gives \(x^2+2x+1-x^2=2x+1\).

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Question 64/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=x+3) और (g(x)=2x), तो ((f+g)(2)) क्या होगा?

If (f(x)=x+3) and (g(x)=2x), what is ((f+g)(2))?

Explanation opens after your attempt

Correct Answer

A. (9)

Step 1

Concept

((f+g)(2)=f(2)+g(2))। / ((f+g)(2)=f(2)+g(2)).

Step 2

Why this answer is correct

(f(2)=5) और (g(2)=4)। / (f(2)=5) and (g(2)=4).

Step 3

Exam Tip

इसलिए योग (5+4=9) है। / Therefore the sum is (5+4=9).

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Question 65/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=3x) और (g(x)=x+1), तो ((f-g)(x)) क्या होगा?

If (f(x)=3x) and (g(x)=x+1), what is ((f-g)(x))?

Explanation opens after your attempt

Correct Answer

A. (2x-1)

Step 1

Concept

((f-g)(x)=f(x)-g(x))। / ((f-g)(x)=f(x)-g(x)).

Step 2

Why this answer is correct

(3x-(x+1)=3x-x-1)। / (3x-(x+1)=3x-x-1).

Step 3

Exam Tip

सरल करने पर (2x-1) मिलता है। / Simplifying gives (2x-1).

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Question 66/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=x+2) और (g(x)=x-2), तो ((fg)(3)) क्या होगा?

If (f(x)=x+2) and (g(x)=x-2), what is ((fg)(3))?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

((fg)(3)=f(3)g(3))। / ((fg)(3)=f(3)g(3)).

Step 2

Why this answer is correct

(f(3)=5) और (g(3)=1)। / (f(3)=5) and (g(3)=1).

Step 3

Exam Tip

इसलिए ((fg)(3)=5\cdot1=5)। / Therefore ((fg)(3)=5\cdot1=5).

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Question 67/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=x^-2) और (g(x)=x+1), तो (\(f\circ g\)(2)) क्या होगा?

If (f(x)=x^-2) and (g(x)=x+1), what is (\(f\circ g\)(2))?

Explanation opens after your attempt

Correct Answer

A. (9)

Step 1

Concept

(\(f\circ g\)(2)=f(g(2)))। / (\(f\circ g\)(2)=f(g(2))).

Step 2

Why this answer is correct

(g(2)=3)। / (g(2)=3).

Step 3

Exam Tip

(f(3)=3²=9), इसलिए मान (9) है। / (f(3)=3²=9), so the value is (9).

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Question 68/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=2x+3) और (g(x)=x-1), तो (\(f\circ g\)(x)) क्या होगा?

If (f(x)=2x+3) and (g(x)=x-1), what is (\(f\circ g\)(x))?

Explanation opens after your attempt

Correct Answer

A. (2x+1)

Step 1

Concept

(\(f\circ g\)(x)=f(g(x)))। / (\(f\circ g\)(x)=f(g(x))).

Step 2

Why this answer is correct

(g(x)=x-1) को (f) में रखें। / Put (g(x)=x-1) into (f).

Step 3

Exam Tip

(f(x-1)=2(x-1)+3=2x+1)। / (f(x-1)=2(x-1)+3=2x+1).

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Question 69/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=x-5), तो (f^{-1}(x)) क्या होगा?

If (f(x)=x-5), what is (f^{-1}(x))?

Explanation opens after your attempt

Correct Answer

A. (x+5)

Step 1

Concept

(y=x-5) लिखें। / Write (y=x-5).

Step 2

Why this answer is correct

(x=y+5) मिलेगा। / Then (x=y+5).

Step 3

Exam Tip

(y) के स्थान पर (x) लिखने पर (f^{-1}(x)=x+5)। / Replacing (y) by (x), (f^{-1}(x)=x+5).

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Question 70/574 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=\frac{x}{3}), तो (f^{-1}(x)) क्या होगा?

If (f(x)=\frac{x}{3}), what is (f^{-1}(x))?

Explanation opens after your attempt

Correct Answer

A. (3x)

Step 1

Concept

\(y=\frac{x}{3}\) मानें। / Let \(y=\frac{x}{3}\).

Step 2

Why this answer is correct

दोनों तरफ (3) से गुणा करने पर (x=3y)। / Multiplying both sides by (3), we get (x=3y).

Step 3

Exam Tip

इसलिए प्रतिलोम (f^{-1}(x)=3x) है। / Hence the inverse is (f^{-1}(x)=3x).

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Mathematics Functions MCQ Questions for Class 12 General

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Functions Practice Questions

यदि (f(x)=x+2), तो (f(x)-2) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=2x-1), तो (f(x+1)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2), तो (f(x+1)-f(x)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x+3) और (g(x)=2x), तो ((f+g)(2)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=3x) और (g(x)=x+1), तो ((f-g)(x)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x+2) और (g(x)=x-2), तो ((fg)(3)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2) और (g(x)=x+1), तो (\(f\circ g\)(2)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=2x+3) और (g(x)=x-1), तो (\(f\circ g\)(x)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-5), तो (f^{-1}(x)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=\frac{x}{3}), तो (f^{-1}(x)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

Functions Learning Links

Relations and Functions Chapter

Easy Functions Test

Mathematics Subject

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यदि (f(x)=x^-2), तो (f(x+1)-f(x)) क्या होगा?

यदि (f(x)=x^-2) और (g(x)=x+1), तो (\(f\circ g\)(2)) क्या होगा?