Question

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

Answer 1

Your answer will be C. There is a whole in the negative side of the graph

Answer 2

option C

Explanation:

`f(x)=(9x^2+9x-18)/(3x+6)`

Lets factor the numerator

9x^2 +9x-18

9(x^2 +x-2)

9(x+2)(x-1)

Now we factor the denominator

3x+6

3(x+2)

`f(x)=(9(x+2)(x-1))/(3(x+2))`

Cancel out x+2

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

now we graph f(x)

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

-2 -9

-1 -6

0 -3

1 0

We cancelled out (x+2) at the top and bottom, x+2=0 so x=-2. Hence there is a whole at x=-2

Option C represents the graph f(x) because there is a hole at (-2,-9)