पहले f(0) ज्ञात करें: f(0)=|0+2|+|0-2|=|2|+|-2|=2+2=4। चूँकि g(x)=4, इसलिए g(0)=4। अतः (f-g)(0)=f(0)-g(0)=4-4=0। ध्यान रखें कि (f-g)(a)=f(a)-g(a) होता है; केवल f(a) निकालना पर्याप्त नहीं है। / First evaluate f(0): f(0)=|0+2|+|0-2|=|2|+|-2|=2+2=4. Since g(x)=4, g(0)=4. Therefore, (f-g)(0)=f(0)-g(0)=4-4=0. Remember that (f-g)(a)=f(a)-g(a); evaluating only f(a) gives the distractor 4, not the required difference.
Mathematics Answer, Explanation and Revision Hints
यदि f(x)=|x+2|+|x-2| और g(x)=4 हैं, तो (f-g)(0) का मान क्या है? / If f(x)=|x+2|+|x-2| and g(x)=4, what is the value of (f-g)(0)?
Correct Answer: A. 0. Explanation: पहले f(0) ज्ञात करें: f(0)=|0+2|+|0-2|=|2|+|-2|=2+2=4। चूँकि g(x)=4, इसलिए g(0)=4। अतः (f-g)(0)=f(0)-g(0)=4-4=0। ध्यान रखें कि (f-g)(a)=f(a)-g(a) होता है; केवल f(a) निकालना पर्याप्त नहीं है। / First evaluate f(0): f(0)=|0+2|+|0-2|=|2|+|-2|=2+2=4. Since g(x)=4, g(0)=4. Therefore, (f-g)(0)=f(0)-g(0)=4-4=0. Remember that (f-g)(a)=f(a)-g(a); evaluating only f(a) gives the distractor 4, not the required difference.
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