Question

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

Answer 1

( * 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 2

Answer: The required value of the given expression is 1.6.

Step-by-step explanation: We are given the following two functions :

`g(x)=(x+1)/(x-2),~~~~~h(x)=4-x.`

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

`(p\circ q)(x)=p(q(x)).`

So, for the given functions, we have

`(g\circ h)(x)=g(h(x))=g(4-x)=(4-x+1)/(4-x-2)=(5-x)/(2-x).`

Therefore, we get

`(g\circ h)(-3)=(5-(-3))/(2-(-3))=(5+3)/(2+3)=(8)/(5)=1.6.`

Thus, the required value of the given expression is 1.6.