Let f(x)=x2 and g(x)=3x+4 . Then the value of (f+g)(x)(f−g)(x)= when x = 1
A
43
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B
34
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C
−43
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D
−34
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Solution
The correct option is C−43 (f+g)(x)=f(x)+g(x)=x2+3x+4(f−g)(x)=f(x)−g(x)=x2−3x−4⇒(f+x)(x)(f−g)(x)=x2+3x+4x2−3x−4 At x = 1, x2+3x+4x2−3x−4=1+3+41−3−4=8−6=−43