Please help my find the product

(f · g)(x) = -6x² - 7x + 3

Step-by-step explanation:

To find the products, you have to first find the equations of the lines.

Red Line

First, find the slope.  Use the following equation to find it.

Use the points marked on the line for the values.

Now, you need the y-intercept.  The y-intercept is the point on the graph where the line crosses the y-axis.  The line crosses the line at (0, 3).  The y-intercept is 3.

Using y = mx + b form, the equation is g(x) = 2x + 3.

Blue Line

Find the slope the same way as above.

The line crosses the y-axis at (0, 1).  The y-intercept is 1.

Using y = mx + b form, the equation is f(x) = -3x + 1.

Now multiply the two equations.  Use the FOIL method (Front, Outer, Inner, Last).

(f · g)(x) = (2x + 3)(-3x + 1)

(f · g)(x) = -6x² + 2x - 9x + 3

(f · g)(x) = -6x² - 7x + 3

45

step-by-step explanation:

smple