Question

Find the intersection points of the linear and quadratic functions shown below f(x)=2x-5 g(x)= x2+2x-21

Answer 1

`(-4,-13)` and
`(4,3)` the intersection points.

Explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

`f(x)=2x-5`

`g(x)=x^2+2x-21`

For a common point of these functions,

`f(x)=g(x)`

`2x-5=x^2+2x-21`

`-5=x^2-21`

`0=x^2-16`

`x^2=16`

`x=-4,4`

For
`x=-4`,

`f(-4)=g(-4)=2(-4)-5`

`=-13`

For
`x=4`,

`f(4)=g(4)=2(4)-5`

`=3`

Therefore,
`(-4,-13)` and
`(4,3)` the intersection points.