Graph the functions on the same coordinate plane. f(x)=−2x g(x)=x2−3 what are the solutions to the equation f(x)=g(x)? select each correct answer. −3 −2 0 1 3

A graph shows the solutions to be
.. x = -3
.. x = 1

Here's an analytic solution.
.. f(x) = g(x)
.. -2x = x^2 -3 . . . . . . substitute the given function definitions
.. 0 = x^2 +2x -3 . . . . add 2x
.. 0 = (x -1)(x +3) . . . . . factor

Use the zero-product rule to find values of x that are solutions. One or the other of the factors must be zero for the product to be zero.
.. x -1 = 0 . . . . first factor is zero
.. x = 1

.. x +3 = 0 . . . second factor is zero
.. x = -3