Question

If g(x)=x+1/x-2 and h(x) = 4 – x, what is the value of (9*h)(-3)?

Answer 1

9514 1404 393

Answer:

(g·h)(-3) = 2.8

Explanation:

Given:

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

h(x) = 4 -x

Find:

(g·h)(x) = g(x) × h(x) for x = -3

Solution:

g(-3) = (-3+1)/(-3-2) = -2/-5 = 2/5

h(-3) = 4 -(-3) = 4 +3 = 7

Then the product is ...

g(-3)·h(-3) = (2/5)(7) = 14/5 = 2.8

(g·h)(-3) = 2.8