Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Find f +g, f – 9, fg and. Determine the domain
for each function.
f(x) = 3x – 4, g(x) = x + 2


Sagot :

Step-by-step explanation:

f(x) = 3x - 4

g(x) = x + 2

(f + g) = f(x) + g(x)

         = 3x - 4 + x + 2

         = 4x - 2

Domain: All real numbers

(f - g) = f(x) - g(x)

        = 3x - 4 - (x + 2)

        = 3x -4 -x -2

        = 2x -6

Domain: All real numbers

(fg) = f(x) * g(x)

     = (3x - 4)(x + 2)

     = 3x^2 + 6x -4x -8

     = 3x^ 2 + 2x - 8

Domain: All real numbers