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If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=3x+1), (g(x)=x-4), what is the value of ((f\circ g)(2))?यदि (f:\mathbb{R}\to\mathbb{R}) और (g:\mathbb{R}\to\mathbb{R}) में (f(x)=3x+1), (g(x)=x-4), तो ((f\circ g)(2)) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-5)(-5)
Step 1: First find (g(2)=2-4=-2). Step 2: Then (f(-2)=3(-2)+1=-5). Step 3: In composition, apply the inner function first.चरण 1: पहले (g(2)=2-4=-2) निकालें। चरण 2: अब (f(-2)=3(-2)+1=-5) होगा। चरण 3: संयोजन के मान में अंदर वाले फलन को पहले लगाएँ।
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