Problemas
Solve f(x)=g(x) What are the points of intersection of the graphs of the two functions? f(x)=4(x^2-3); g(x)=4x^2+3x+12 If f(x)=g(x) then x=-8 (Simplify your answer. Use a comma to soparato answers as nooded.) The point(s) of intesection of the two graphs is/aro square (Simplify your answer. Type an ordered pair. Uso a cofnma to soparato answers as nooded.)
Roztwór
Edna
maestro · Tutor durante 5 años
4.5
(230 Votos)
Respuesta
To find the points of intersection of the graphs of the two functions, we need to solve the equation
.Given:
Setting
, we have:
Expanding and simplifying the equation:
So, the value of
at the point of intersection is
.To find the corresponding
-coordinate, we can substitute
into either
or
.Using
:
Therefore, the point of intersection of the two graphs is
.