( * means multiply) if you mean " / "as devided. Then:
[Simplify]1.
( x + 1/x - 8 - x -3 )
[Collect like terms]2.
(( x - x ) + 1/x - 8 ) * -3
[Simplify]3.
( 1/x - 8 ) x -3
[Answer]4.
-3( 1/x - 8)
Answer: The required value of the given expression is 1.6.
Step-by-step explanation: We are given the following two functions :
[tex]g(x)=\dfrac{x+1}{x-2},~~~~~h(x)=4-x.[/tex]
We are to find the value of (g ° h)(-3).
We know that
for any two functions p(x) and q(x), the compositions of functions is defined as
[tex](p\circ q)(x)=p(q(x)).[/tex]
So, for the given functions, we have
[tex](g\circ h)(x)=g(h(x))=g(4-x)=\dfrac{4-x+1}{4-x-2}=\dfrac{5-x}{2-x}.[/tex]
Therefore, we get
[tex](g\circ h)(-3)=\dfrac{5-(-3)}{2-(-3)}=\dfrac{5+3}{2+3}=\dfrac{8}{5}=1.6.[/tex]
Thus, the required value of the given expression is 1.6.
