Answer:
[tex]g.h(-3) = \frac{14}{5}[/tex]
Step-by-step explanation:
We are given these following functions:
[tex]g(x) = \frac{x + 1}{x - 2}[/tex]
[tex]h(x) = 4 - x[/tex]
Multiplication function:
[tex]g.h(x) = \frac{x + 1}{x - 2} \times (4 - x) = \frac{(x+1)(4-x)}{x - 2}[/tex]
At x = -3
[tex]g.h(-3) = \frac{(-3+1)(4-(-3))}{-3 - 2} = \frac{(-2)(7)}{-5} = \frac{-14}{-5} = \frac{14}{5}[/tex]
So
[tex]g.h(-3) = \frac{14}{5}[/tex]
