Question

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

Answer 1

Answer:

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

Step-by-step 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.