Question

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

Answer 1

8/5

Explanation:

If g(x) = (x+1)/(x-2) and h(x) = 4 - x

(g*h)(-3) = g(h(-3))

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

g(7) = (7 + 1)/(7 - 2) = 8/5

Answer 2

g (h (x) ) = 5/8

Explanation:

We are given the following two functions and we are to find the value of
`g ( h ( - 3 ) )`:

`g ( x ) = \frac { x + 1 } { x + 2 }`

`h ( x ) = 4 - x`

Firstly, we need to find the function :

`g ( h ( x ) ) = \frac { ( 4 - x + 1 ) } { ( 4 - x - 2 ) } = \frac { 5 - x } { 2 - x }`

Now substituting the value
`x=-3` in it:

`g ( h ( x ) ) = \frac { 5 - (-3) } { 2 - (-3) }`

g (h (x) ) = 5/8