Question

F(x) = x2 – 25 and g(x) = x + 5Step 4 of 4: Find(*)).(x). Simplify your answer.Answer(3)) =(x

Answer 1

Given:

`f(x)=x^2-25\text{ and }g(x)=x+5.`

Required:

`We\text{ need to find }((f)/(g))(x).`

Step-by-step explanation:

`We\text{ know that }((f)/(g))(x)=(f(x))/(g(x)).`

`Substitute\text{ }f(x)=x^2-25\text{ and }g(x)=x+5\text{ in the equation.}`

`((f)/(g))(x)=(x^2-25)/(x+5)`

`((f)/(g))(x)=(x^2-5^2)/(x+5)`
`Use\text{ }x^2-5^2=(x-5)(x+5).`

`((f)/(g))(x)=((x-5)(x+5))/(x+5)`

Cancel out the term (x+5).

`((f)/(g))(x)=x-5`

Final answer:

`((f)/(g))(x)=x-5`