Question

which graph represents the function of f(x)=9x^2+9x-18/3x+6

Answer 1

Can you factor the numerator?
Hint: first factor out 9.
Also, factor the denominator.

Answer 2

\( f(x) = \dfrac{9x^2 + 9x - 18}{3x + 6} \)

\( f(x) = \dfrac{9(~~~~~~~~~)(~~~~~~~~~)}{3(~~~~~~~~~)} \)

Answer 3

i was thinking c @mathstudent55

Answer 4

Have you factored the numerator and denominator?
What do you get?

Answer 5

3

Answer 6

\(f(x) = \dfrac{9(x^2 + x - 2)}{3(x + 2)} \)


\(f(x) = \dfrac{3(x + 2)(x - 1)}{(x + 2)} \)

Now notice that the factor x + 2 cancels out and 9 divided by 3 is 3, leaving:

\(f(x) = 3(x - 1) \)

\(f(x) = 3x - 3\)

Since the denominator is 3(x + 2), there is a discontinuity at x = -2. That's why every graph shows an open circle at x = -2.
Notice that the function is the same as f(x) = 3x - 3, so you need a graph with a y-intercept of -3.

Answer 7

oh ok that would be d @mathstudent55

Answer 8

correct