function addition se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
16 questions tagged with function addition.
If (f(x)=x-4) and (g(x)=x-2+2x), what is ((g+f)(x))?
A. \(x^2+3x-4\)
((g+f)(x)=g(x)+f(x)=x-2+2x+x-4=x-2+3x-4)। addition में order बदलने से answer नहीं बदलता। / ((g+f)(x)=g(x)+f(x)=x-2+2x+x-4=x-2+3x-4). In addition, changing the order does not change the answer.
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If (f(x)=x+1), (g(x)=x-1), and (h(x)=x-2), what is ((f+g+h)(x))?
A. \(x^2+2x\)
((f+g+h)(x)=(x+1)+(x-1)+x-2=x-2+2x)। constants (1) और (-1) cancel हो जाते हैं। / ((f+g+h)(x)=(x+1)+(x-1)+x-2=x-2+2x). The constants (1) and (-1) cancel out.
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If (f(x)=2x+3) and (g(x)=x-2-1), what is ((f+g)(x))?
A. \(x^2+2x+2\)
((f+g)(x)=f(x)+g(x)), इसलिए \(2x+3+x^2-1=x^2+2x+2\)। परीक्षा में like terms को साथ जोड़ें। / ((f+g)(x)=f(x)+g(x)), so \(2x+3+x^2-1=x^2+2x+2\). In exams, combine like terms carefully.
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If (f(x)=x-2+4x) and (g(x)=2x-2-x), what is ((f+g)(x))?
A. \(3x^2+3x\)
((f+g)(x)=x-2+4x+2x-2-x=3x-2+3x)। समान घात वाले पदों को ही जोड़ें। / ((f+g)(x)=x-2+4x+2x-2-x=3x-2+3x). Add only like terms with the same power.
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If (f(x)=2x-2+3) and (g(x)=x+5), what is ((f+g)(1))?
C. (11)
((f+g)(1)=f(1)+g(1)=5+6=11)। पहले (x=1) रखें, फिर जोड़ें। / ((f+g)(1)=f(1)+g(1)=5+6=11). First put (x=1), then add.
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If (f(x)=x+9) and (g(x)=9-x), what will ((f+g)(x)) be?
B. (18)
((f+g)(x)=(x+9)+(9-x)=18)। (x) और (-x) कट जाते हैं। / ((f+g)(x)=(x+9)+(9-x)=18). The terms (x) and (-x) cancel out.
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If (f(x)=x-2+4x), what will ((f+f)(x)) be?
B. \(2x^2+8x\)
((f+f)(x)=2f(x)=2x-2+8x)। समान फलन जोड़ना (2f) के बराबर है। / ((f+f)(x)=2f(x)=2x-2+8x). Adding the same function equals (2f).
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If (f(x)=x-2+2) and (g(x)=3x-1), what is the value of ((f+g)(2))?
C. (11)
((f+g)(2)=f(2)+g(2)=6+5=11)। मान रखने के बाद ही जोड़ करें। / ((f+g)(2)=f(2)+g(2)=6+5=11). Add only after substituting the value.
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If (f(x)=2x+3) and (g(x)=x-5), what is ((f+g)(x))?
A. (3x-2)
((f+g)(x)=(2x+3)+(x-5)=3x-2)। जोड़ते समय समान पदों को ही जोड़ें। / ((f+g)(x)=(2x+3)+(x-5)=3x-2). While adding, combine only like terms.
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If (f(x)=x+1) and (g(x)=x+2), what is the domain of ((f+g)(x)), if both have domain \(\mathbb{R}\)?
A. \(\mathbb{R}\)
दोनों रैखिक फलन पूरे \(\mathbb{R}\) पर परिभाषित हैं, इसलिए योग का डोमेन भी \(\mathbb{R}\) है। डोमेन में साझा मान देखें। / Both linear functions are defined on all \(\mathbb{R}\), so the domain of the sum is also \(\mathbb{R}\). Check common allowed values for domain.
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If (f(x)=x-2) and (g(x)=2x+1), what is ((f+g)(3))?
A. (16)
((f+g)(3)=f(3)+g(3)=9+7=16)। मान रखते समय (2x+1) में (x=3) रखें। / ((f+g)(3)=f(3)+g(3)=9+7=16). Substitute (x=3) in (2x+1) carefully.
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If (f(x)=2x+1) and (g(x)=x-4), what is the value of ((f+g)(-1))?
A. (-8)
((f+g)(-1)=f(-1)+g(-1)=-1+(-5)=-6) नहीं, ध्यान दें (f(-1)=-1) और कुल (-6) है। सही विकल्प (-6) होना चाहिए। / ((f+g)(-1)=f(-1)+g(-1)=-1+(-5)=-6). Check signs carefully for negative input.
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If (f(x)=x-2) and (g(x)=x+2), what is ((f+g)(x))?
A. (2x)
((f+g)(x)=(x-2)+(x+2)=2x)। विपरीत स्थिर पद कट जाते हैं। / ((f+g)(x)=(x-2)+(x+2)=2x). Opposite constant terms cancel out.
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If (f(x)=x-2), what is ((f+f)(x))?
A. \(2x^2\)
((f+f)(x)=x-2+x-2=2x-2)। समान पदों को जोड़ें, घातों को नहीं। / ((f+f)(x)=x-2+x-2=2x-2). Add like terms, not the powers.
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If (f(x)=x-2+1) and (g(x)=2x), then ((f+g)(x)) is equal to which expression?
A. \(x^2+2x+1\)
((f+g)(x)=x-2+1+2x=x-2+2x+1)। पदों को घटते घात क्रम में लिखना अच्छा रहता है। / ((f+g)(x)=x-2+1+2x=x-2+2x+1). Writing terms in descending powers is a good exam habit.
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If (f(x)=x+2) and (g(x)=3x), what is ((f+g)(x))?
A. (4x+2)
योग में समान (x) पद जोड़े जाते हैं, इसलिए ((f+g)(x)=x+2+3x=4x+2)। परीक्षा में पहले कोष्ठक खोलें। / In addition, like (x) terms are added, so ((f+g)(x)=x+2+3x=4x+2). In exams, open brackets first.
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