G (x) = -3x

F (x) = x2+1

Find (g-f) (x)

-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