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

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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|...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

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)|

Approved by eNotes Editorial Team