Question

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

Answer 1

Answer:

14/5

Step-by-step explanation:

That " • " signifies multiplication.

g(x) = (x + 1) / (x - 2) and h(x) = 4 - x are to be multiplied together to obtain (g·h)(x):  

                (x + 1)(4 - x)

(g·h)(x) = --------------------

                       x - 2

This could be simplified.

But our task is to evaluate this product function at x = -3.  So we replace each instance of x with -3:

                ( -3 + 1 )( 4 - [-3] )           (-2)(7)

(g·h)(-3) = --------------------------  =  ----------- = 14/5

                      -3 - 2                            -5