Question

X+1
-
and h(x) = 4 - X, what is the value
Oil CD
Nior
wla
olo

Answer 1

8/5

Explanation:

`(g\circ h)(-3)` means
`g(h(-3))`.

Start with the inside first: h(-3).

h(-3) means use the function called h and replace the x with -3. The expression that is called h is 4-x.

4-x evaluated at x=-3 gives us 4-(-3)=4+3=7.

So the value for h(-3) is 7, or h(-3)=7.

Now this is what we thus far:

`(g\circ h)(-3)=g(h(-3))=g(7)`.

g(7) means use the function called g and replace x with 7. The expression that is called g is (x+1)/(x-2).

(x+1)/(x-2) evaluated at x=7 gives us (7+1)/(7-2)=(8)/(5)=8/5.

This is our final answer:

`(g\circ h)(-3)=g(h(-3))=g(7)=(8)/(5)`.