Question

Find all y-intercepts of the following function. Express your answer as a coordinate

point in simplest form.f(x)=2x^2+2x-84/x^2-3x18

Answer 1

Following are the solution to the given question:

Explanation:

Please find the attachment of the given graph:

`\to f(x)=(2x^2+2x-84)/(x^2-3x-18)`

`=(2(x^2+x-42))/(x^2-(6-3)x-18)\\\\=(2(x^2+7x-6x-42))/(x^2-6x+3x-18)\\\\=(2(x(x+7)-6(x+7)))/(x(x-6)+3(x-6))\\\\=(2((x+7) (x-6)))/((x-6)(x+3))\\\\=((2x+14))/((x+3))\\\\`