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If (f(x)=x^2+1) and (g(x)=2x-3), what is ((g\circ f)(x))?यदि (f(x)=x^2+1) और (g(x)=2x-3) हों तो ((g\circ f)(x)) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2x^2-1)(2x^2-1)
Step 1: ((g\circ f)(x)=g(f(x))). Step 2: (g(x^2+1)=2(x^2+1)-3=2x^2-1). Step 3: Substitute the inner function first, then apply the outer function.चरण 1: ((g\circ f)(x)=g(f(x))) होता है। चरण 2: (g(x^2+1)=2(x^2+1)-3=2x^2-1)। चरण 3: पहले अंदर वाले फलन का मान रखें फिर बाहर वाले फलन को लगाएँ।
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