Question

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

Answer 1

`(14)/(5)`

Explanation:

multiply g(x) by h(x)

=
`(x+1)/(x-2)` × 4 - x

=
`((x+1)(4-x))/(x-2)` = (g × h)(x)

To evaluate (g × h)(- 3) substitute x = - 3 into the product

=
`((-3+1)(4-(-3)))/(-3-2)`

=
`(-2(7))/(-5)` =
`(-14)/(-5)` =
`(14)/(5)`