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

Solution:

Given, functions are

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

h(x) = 4 - x

We have to find the value of g(h(-3)), which is a composite function.

g(h(x)) = g(4 - x)

= [(4 - x)+ 1]/[(4 - x) - 2]

=(5 - x)/(2 - x)

Put x = -3 in the above expression,

g(h(-3)) = 5 - (-3)/2 - (-3)

= (5 + 3)/(2 + 3)

= 8/5

= 1.6

Therefore, the value of g(h(-3)) is 1.6

---

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

Summary:

If g(x) = x + 1/x - 2 and h(x) = 4 - x, the value of g(h(-3)) is 1.6