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