Question

If g(x)=x+1/x-2 and h(x)=4-x,what is the value of (g.h)(-3)?

Answer 1

`g.h(-3) = (14)/(5)`

Explanation:

We are given these following functions:

`g(x) = (x + 1)/(x - 2)`

`h(x) = 4 - x`

Multiplication function:

`g.h(x) = (x + 1)/(x - 2) * (4 - x) = ((x+1)(4-x))/(x - 2)`

At x = -3

`g.h(-3) = ((-3+1)(4-(-3)))/(-3 - 2) = ((-2)(7))/(-5) = (-14)/(-5) = (14)/(5)`

So

`g.h(-3) = (14)/(5)`