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3 results found for "function operations" in all classes.
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))?
#difference of functions
#function operations
#linear functions
A (2x-1)
B (4x+1)
C (2x+1)
D \(3x^2+x\)
Explanation opens after your attempt
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))?
#product of functions
#function operations
#evaluation
#easy
A (8)
B (4)
C (2)
D (6)
Explanation opens after your attempt
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))?
#sum of functions
#function operations
#linear functions
A (3x-1)
B (x-1)
C \(2x^2-1\)
D (3x+1)
Explanation opens after your attempt
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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