Given that g(×)=(x - 3)/(x + 4)find each of following.a) g(6)b) g(3)c) g(-4)d) g(-15.75)e) g(x+h)

Question

given that g(×)=
`(x - 3)/(x + 4)`find each of following.a) g(6)b) g(3)c) g(-4)d) g(-15.75)e) g(x+h)

Answer 1

`\begin{gathered} a)\text{ 6} \\ b)\text{ 0} \\ c)\text{ inderminate} \\ d)\text{ 1.6} \\ e)\text{ }(x+h-3)/(x+h+4) \end{gathered}`

Explanation:

We have the following function

`g(x)=(x-3)/(x+4)`

Now, we calculate for each case the result of the function.

a) g(6)

`g(6)=(6-3)/(6+4)=(3)/(10)`

b) g(3)

`g(3)=(3-3)/(3+4)=(0)/(7)=0`

c) g(-4)

`g(-4)=(-4-3)/(-4+4)=-(7)/(0)=\text{ inderminate}`

d) g(-15.75)

`g(-15.75)=(-15.75-3)/(-15.75+4)=(-18.78)/(-11.75)=1.59\cong1.6`

e) g(x+h)

`g(x+h)=(x+h-3)/(x+h+4)`