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If (f(x)=x+2) and (g(x)=x^2), which statement about (f\circ g) and (g\circ f) is correct?यदि (f(x)=x+2) और (g(x)=x^2) हों तो (f\circ g) और (g\circ f) के बारे में सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: They are generally differentदोनों सामान्यतः अलग हैं
Step 1: ((f\circ g)(x)=x^2+2). Step 2: ((g\circ f)(x)=(x+2)^2). Step 3: Changing the order of composition generally changes the result.चरण 1: ((f\circ g)(x)=x^2+2) है। चरण 2: ((g\circ f)(x)=(x+2)^2) है। चरण 3: समिश्र फलनों में क्रम बदलने से परिणाम सामान्यतः बदल जाता है।
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