Question

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

Answer 1

Answer:

g (h (x) ) = 5/8

Step-by-step 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