Question

How do you find the domain and range of `f(x)= (2x^2+7x-15) / (x+5)`?

Answer 1

`x inRR,y inRR`

Explanation:

`"factorise and simplify by cancelling"`

`f(x)=((2x-3)cancel((x+5)))/cancel(x+5)=2x-3`

`f(x)" simplifies to a linear expression which has no "`
`"restrictions on it's domain and hence no restrictions"`
`"on it's range"`

`rArr"domain "x inRR`

`rArr"range "y inRR`
graph{(2x^2+7x-15)/(x+5) [-10, 10, -5, 5]}