Answer:
-x² - 3x - 1
Step-by-step explanation:
g(x) = -3x; ƒ(x) = x²+ 1
(g - f)x = g(x) - ƒ(x)
(a) Write the two functions, one above the other, in decreasing order of exponents.
g(x) = -3x
ƒ(x) = x² +1
(b) Create a subtraction problem using the two functions
g(x) = -3x
-ƒ(x) = x² +1
(c). Subtract terms with the same exponent of x
g(x) = -3x
-ƒ(x) = x² + 1
g(x) - ƒ(x) = -x² - 3x - 1
