Given the functions f(x)=|x|, g(x)=6x-8, h(x)=4-x find u=fo(gof)/h .

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We have the functions: f(x)=|x|, g(x)=6x-8 and h(x) = 4-x. We have to find u= fo(gof)/h.

u = fo(gof)/h

=> u = fo[(g(f(x))/ h(x)]

=> u = fo[(6|x| - 8) / (4 - x)]

=> u = |(6|x| - 8)|/ |(4 - x)|

The required value of u = |(6|x| - 8)|/ |(4 - x)|

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