Posted by **Samantha** on Wednesday, July 11, 2012 at 4:08am.

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 xy-plane, what is the y-coordinate of the point of intersection of the graphs of f and g?

- Math -
**drwls**, Wednesday, July 11, 2012 at 6:43am
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

- Math -
**Samantha**, Wednesday, July 11, 2012 at 7:07am
f(x) = (1/3)x the fraction one third x

- Math -
**drwls**, Wednesday, July 11, 2012 at 8:15am
In that case, the problem simplifies to:

(x/3) + 3 = x -2

2x/3 = 5

x = 7.5

y = x-2 = 5.5

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