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  4. Let f and g are two linear functions such that f(x-1)=2 x-3+g(1)-f(1) and g(x-1)=4 x+5-g(1)-f(1) for all real number x. Area enclosed by the curves y=f(x), y=g(x) and y=0, is

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Q. Let $f$ and $g$ are two linear functions such that $f(x-1)=2 x-3+g(1)-f(1)$ and $g(x-1)=4 x+5-g(1)-f(1)$ for all real number $x$.
Area enclosed by the curves $y=f(x), y=g(x)$ and $y=0$, is

Application of Integrals

Solution:

Correct answer is (c) $\frac{1}{8}$