1.

If \( f(x)=x^{2} \) and \( g(x)=4 x+1 \) be two real functions then find \( b(i)(f+g)(x) \) (ii) \( (f-g)(x) \), (iii) \( (f \cdot g)(x) \)

Answer»

\(f(x) = x^2\)

\(g(x) = 4x + 1\)

(i) \((f + g) (x) = f(x) + g(x) = x^2 + 4x +1\)

(ii) \((f - g)(x) = f(x) - g(x) = x^2 - (4x + 1) = x^2 - 4x - 1\)

(iii) \((f.g)(x) = f(x). g(x) = x^2 (4x + 1)\)



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