यदि \(f:\mathbb{R}\to\mathbb{R}\) और \(g:\mathbb{R}\to\mathbb{R}\) में (f(x)=x+1), (g(x)=2x), तो (\(f\circ g\)(x)) और (\(g\circ f\)(x)) के बारे में सही कथन कौन सा है?
If \(f:\mathbb{R}\to\mathbb{R}\) and \(g:\mathbb{R}\to\mathbb{R}\) are given by (f(x)=x+1), (g(x)=2x), which statement about (\(f\circ g\)(x)) and (\(g\circ f\)(x)) is correct?
Explanation opens after your attempt
Correct Answer
B. (\(f\circ g\)(x)=2x+1) और (\(g\circ f\)(x)=2x+2)(\(f\circ g\)(x)=2x+1) and (\(g\circ f\)(x)=2x+2)
Concept
(f(g(x))=f(2x)=2x+1).
Why this answer is correct
(g(f(x))=g(x+1)=2x+2).
Exam Tip
Composition of functions is not generally commutative. चरण 1: (f(g(x))=f(2x)=2x+1)। चरण 2: (g(f(x))=g(x+1)=2x+2)। चरण 3: फलनों का संयोजन सामान्यतः क्रमविनिमेय नहीं होता।
Login to save your score, XP, coins and progress.