Question

consider these functions :f(x) = 3x - 7 g(x) = x +1 / x-1what is the value of f(g((3))? a: -1b: 0c: 3d: 5

Answer 1

Given:

`f(x)=3x-7\text{ and }g(x)=(x+1)/(x-1).`

Required:

We need to find the value of f(g(3)).

Step-by-step explanation:

Substitute x =3 in the equation g(x) to find g(3).

`g(3)=(3+1)/(3-1).`

`g(3)=(4)/(2).`
`g(3)=2.`

Substitute g(3)=2 in f(g(3)).

`f(g(3))=f(2)`

Substitute x=2 in the equation f(x).

`f(2)=3(2)-7`

`f(2)=6-7`
`f(2)=-1`

`Substitute\text{ f\lparen2\rparen=-1 in }f(g(3))=f(2).`

`\text{ }f(g(3))=-1.`

Final answer:

`\text{ }f(g(3))=-1.`