Math
posted by Samantha .
f(x) = 1/3x + 3 and g(x) = x  2
The functions f and g above are defined for all values of x. In the xyplane, what is the ycoordinate of the point of intersection of the graphs of f and g?

It is not clear if the x in the f(x) equation is in the denominator.
I assume you mean
f(x) = 1/(3x) + 3, and not
x/3 + 3.
f(x) = g(x) when
1/(3x) + 3 = x 2
1/(3x) = x  5
3x^2 15x 1 = 0
Solve for x. There will be two answers.
x = (1/6)[15 +/ sqrt(225+12)]
= 5.066 or 0.0658 
f(x) = (1/3)x the fraction one third x

In that case, the problem simplifies to:
(x/3) + 3 = x 2
2x/3 = 5
x = 7.5
y = x2 = 5.5
Respond to this Question
Similar Questions

Math
Find the point of intersection between y=2(1/2)x and y=1+ax. (a=alpha sign). You answer will be a point in the xy plane whose coordinates involve the unknown a . I got that which is x=2/(2a+1), y=(1+2a)/(2a+1) <intersection point … 
maths  geometry
In a space with an orthonormal coordinate system consider the plane; &: 4x3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections? 
Calculus  Functions?
#1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = 1, and the graph of f has a point of inflection at x= 2 a.) Find the values of a … 
Math
19. Point A(4, 2) is translated according to the rule (x, y) (x + 1, y – 5) and then reflected across the yaxis. a) In which quadrant of the coordinate plane is point A located? 
Calc
Two commercial airplanes are flying at an altitude of 40,000 ft along straightline courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical … 
Calc
Two commercial airplanes are flying at an altitude of 40,000 ft along straightline courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical … 
Math
The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. … 
Math
The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. … 
math
he coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. … 
ALGEBRA HELP #4
The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. …