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function evaluation MCQ Questions for Class 12

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10 questions tagged with function evaluation.

Question 1/10 Hard Mathematics Relations and Functions Functions Class 12 Level 21

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=\frac{x}{1+x^-2}), तो (f(2)+f\left\(\frac{1}{2}\right\)) का मान क्या है?

If \(f:\mathbb{R}\to\mathbb{R}\) and (f(x)=\frac{x}{1+x^-2}), what is the value of (f(2)+f\left\(\frac{1}{2}\right\))?

Explanation opens after your attempt

Correct Answer

B. \(\frac{4}{5}\)

Step 1

Concept

(f(2)=\frac{2}{1+4}=\frac{2}{5}).

Step 2

Why this answer is correct

(f\left\(\frac{1}{2}\right\)=\frac{\frac{1}{2}}{1+\frac{1}{4}}=\frac{2}{5}).

Step 3

Exam Tip

Adding them gives \(\frac{4}{5}\). चरण 1: (f(2)=\frac{2}{1+4}=\frac{2}{5})। चरण 2: (f\left\(\frac{1}{2}\right\)=\frac{\frac{1}{2}}{1+\frac{1}{4}}=\frac{2}{5})। चरण 3: दोनों को जोड़ने पर \(\frac{4}{5}\) मिलता है।

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Question 2/10 Hard Mathematics Relations and Functions Functions Class 12 Level 21

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=x^-2-2x), तो (f(1+h)-f(1)) का मान क्या है?

If \(f:\mathbb{R}\to\mathbb{R}\) and (f(x)=x^-2-2x), what is the value of (f(1+h)-f(1))?

Explanation opens after your attempt

Correct Answer

A. \(h^2\)

Step 1

Concept

(f(1+h)=(1+h)²-2(1+h)=h^-2-1).

Step 2

Why this answer is correct

(f(1)=1-2=-1).

Step 3

Exam Tip

The difference is (\(h^2-1\)-(-1)=h^-2). चरण 1: (f(1+h)=(1+h)²-2(1+h)=h^-2-1)। चरण 2: (f(1)=1-2=-1)। चरण 3: अंतर (\(h^2-1\)-(-1)=h^-2) है।

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Question 3/10 Easy Mathematics Relations and Functions Functions Class 12 Level 21

यदि (f(x)=2x-1) और (g(x)=x+4), तो (\(g\circ f\)(2)) क्या होगा?

If (f(x)=2x-1) and (g(x)=x+4), what is (\(g\circ f\)(2))?

Explanation opens after your attempt

Correct Answer

A. (7)

Step 1

Concept

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

Step 2

Why this answer is correct

(f(2)=2\cdot2-1=3).

Step 3

Exam Tip

(g(3)=3+4=7). चरण 1: (\(g\circ f\)(2)=g(f(2)))। चरण 2: (f(2)=2\cdot2-1=3)। चरण 3: (g(3)=3+4=7)।

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Question 4/10 Easy Mathematics Relations and Functions Functions Class 12 Level 21

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

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

Explanation opens after your attempt

Correct Answer

A. (11)

Step 1

Concept

(f(1)=1²+2\cdot1=3).

Step 2

Why this answer is correct

(f(2)=2²+2\cdot2=8).

Step 3

Exam Tip

The sum is (3+8=11). चरण 1: (f(1)=1²+2\cdot1=3)। चरण 2: (f(2)=2²+2\cdot2=8)। चरण 3: योग (3+8=11) है।

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Question 5/10 Easy Mathematics Relations and Functions Functions Class 12 Level 21

यदि (f(x)=x^-2+3x), तो (f(2)) क्या होगा?

If (f(x)=x^-2+3x), what is (f(2))?

Explanation opens after your attempt

Correct Answer

A. (10)

Step 1

Concept

Put (x=2).

Step 2

Why this answer is correct

(f(2)=2²+3\cdot2=4+6=10).

Step 3

Exam Tip

Do the square and multiplication in the correct order. चरण 1: (x=2) रखें। चरण 2: (f(2)=2²+3\cdot2=4+6=10)। चरण 3: वर्ग और गुणा दोनों को सही क्रम में करें।

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Question 6/10 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))).

Step 2

Why this answer is correct

(g(2)=3).

Step 3

Exam Tip

(f(3)=3²=9), so the value is (9). चरण 1: (\(f\circ g\)(2)=f(g(2)))। चरण 2: (g(2)=3)। चरण 3: (f(3)=3²=9), इसलिए मान (9) है।

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Question 7/10 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=2x+1), तो (f(0)+f(1)) का मान क्या है?

If (f(x)=2x+1), what is the value of (f(0)+f(1))?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

(f(0)=2\cdot0+1=1).

Step 2

Why this answer is correct

(f(1)=2\cdot1+1=3).

Step 3

Exam Tip

The sum is (1+3=4). चरण 1: (f(0)=2\cdot0+1=1)। चरण 2: (f(1)=2\cdot1+1=3)। चरण 3: योग (1+3=4) है।

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Question 8/10 Easy Mathematics Relations and Functions Functions Class 12 Level 20

यदि (f(x)=x^-2-2x), तो (f(5)) का मान क्या होगा?

If (f(x)=x^-2-2x), what is the value of (f(5))?

Explanation opens after your attempt

Correct Answer

A. (15)

Step 1

Concept

Put (x=5).

Step 2

Why this answer is correct

(f(5)=5²-2\cdot5=25-10=15).

Step 3

Exam Tip

Calculate the square and multiplication carefully. चरण 1: (x) के स्थान पर (5) रखें। चरण 2: (f(5)=5²-2\cdot5=25-10=15)। चरण 3: वर्ग और गुणा की गणना सावधानी से करें।

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Question 9/10 Easy Mathematics Relations and Functions Functions Class 12 Level 19

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

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

Explanation opens after your attempt

Correct Answer

A. (9)

Step 1

Concept

(\(g\circ f\)(1)=g(f(1))).

Step 2

Why this answer is correct

(f(1)=2\cdot1+1=3).

Step 3

Exam Tip

(g(3)=3²=9), so the value is (9). चरण 1: (\(g\circ f\)(1)=g(f(1)))। चरण 2: (f(1)=2\cdot1+1=3)। चरण 3: (g(3)=3²=9), इसलिए मान (9) है।

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Question 10/10 Easy Mathematics Relations and Functions Functions Class 12 Level 19

यदि (f(x)=3x-1), तो (f(2)+f(0)) का मान क्या होगा?

If (f(x)=3x-1), what is the value of (f(2)+f(0))?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

(f(2)=3\cdot2-1=5).

Step 2

Why this answer is correct

(f(0)=3\cdot0-1=-1).

Step 3

Exam Tip

Therefore (f(2)+f(0)=5+(-1)=4). चरण 1: (f(2)=3\cdot2-1=5)। चरण 2: (f(0)=3\cdot0-1=-1)। चरण 3: इसलिए (f(2)+f(0)=5+(-1)=4)।

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function evaluation MCQ Questions for Class 12

Practice Questions

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=\frac{x}{1+x-2}), तो (f(2)+f\left\(\frac{1}{2}\right\)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=x-2-2x), तो (f(1+h)-f(1)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=2x-1) और (g(x)=x+4), तो (\(g\circ f\)(2)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2+3x), तो (f(2)) 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+1), तो (f(0)+f(1)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2-2x), तो (f(5)) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=3x-1), तो (f(2)+f(0)) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

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यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=\frac{x}{1+x^-2}), तो (f(2)+f\left\(\frac{1}{2}\right\)) का मान क्या है?

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=x^-2-2x), तो (f(1+h)-f(1)) का मान क्या है?

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

यदि (f(x)=x^-2+3x), तो (f(2)) क्या होगा?

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

यदि (f(x)=x^-2-2x), तो (f(5)) का मान क्या होगा?

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