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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)).

Step 2

Why this answer is correct

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

Step 3

Exam Tip

Simplifying gives (2x-1). चरण 1: ((f-g)(x)=f(x)-g(x))। चरण 2: (3x-(x+1)=3x-x-1)। चरण 3: सरल करने पर (2x-1) मिलता है।

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

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

Explanation opens after your attempt
Correct Answer

A. (8)

Step 1

Concept

((fg)(x)=f(x)g(x)).

Step 2

Why this answer is correct

(f(2)=4) and (g(2)=2).

Step 3

Exam Tip

Therefore ((fg)(2)=4\cdot2=8). चरण 1: ((fg)(x)=f(x)g(x)) होता है। चरण 2: (f(2)=4) और (g(2)=2)। चरण 3: इसलिए ((fg)(2)=4\cdot2=8)।

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

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

Explanation opens after your attempt
Correct Answer

A. (3x-1)

Step 1

Concept

((f+g)(x)=f(x)+g(x)).

Step 2

Why this answer is correct

(2x+(x-1)=3x-1).

Step 3

Exam Tip

In the sum of functions, add their values. चरण 1: ((f+g)(x)=f(x)+g(x)) होता है। चरण 2: (2x+(x-1)=3x-1)। चरण 3: फलनों के योग में उनके मानों को जोड़ा जाता है।

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