Answer: [tex]f(x) - g(x) = -2x^2-3x+15[/tex]
Step-by-step explanation:
To subtract functions, treat each function as a polynomial and subtract them as you would normally subtract polynomials.
[tex]f(x) = -3x + 7\\g(x) = 2x^2 + 8[/tex]
[tex]f(x) - g(x) = (-3x+7)-(2x^2-8)\\\\f(x) - g(x) = -3x-2x^2+15[/tex]
The correct answer is the fourth choice. It correctly subtracts the polynomials.
