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composition-functions MCQ Questions for Class 11

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2 questions tagged with composition-functions.

Question 1/2 Expert Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

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

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

Explanation opens after your attempt
Correct Answer

A. \(4x^2+4x+1\)

Step 1

Concept

(\(g\circ f\)(x)=g(f(x))=(2x+1)2=4x-2+4x+1). Expand ((a+b)2) correctly.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2+4x+1\). (\(g\circ f\)(x)=g(f(x))=(2x+1)2=4x-2+4x+1). Expand ((a+b)2) correctly.

Step 3

Exam Tip

(\(g\circ f\)(x)=g(f(x))=(2x+1)2=4x-2+4x+1)। ((a+b)2) का विस्तार सही करें।

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Question 2/2 Expert Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

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

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

Explanation opens after your attempt
Correct Answer

A. \(x^2-8x+17\)

Step 1

Concept

(\(f\circ g\)(x)=f(g(x))=(x-4)2+1=x-2-8x+17). In composition apply the inner function first.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-8x+17\). (\(f\circ g\)(x)=f(g(x))=(x-4)2+1=x-2-8x+17). In composition apply the inner function first.

Step 3

Exam Tip

(\(f\circ g\)(x)=f(g(x))=(x-4)2+1=x-2-8x+17)। संयोजन में पहले अंदर वाला फलन लगाएँ।

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