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Domain function (f+g)(x)












































Combine Functions

   • Given:

           f(x) = x+3

           g(x)= x^2/4

           h(x) = x^2-9

   • Find the following:

           (a) (f+g)(x)

           (b) (f+h)(-1)

Comments for Domain function (f+g)(x)

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Sep 16, 2012
Adding Functions
by: Staff


Answer:


(a) (f+g)(x)

           (f+g)(x) = f(x) + g(x)

           (f+g)(x) = (x+3) + x²/4

           (f+g)(x) = x+3 + x²/4

           (f+g)(x) = x+3 + (¼)x²

           (f+g)(x) = (¼)x² + x + 3

           (f+g)(x) = (¼)x² + x + 3


(b) (f+h)(-1)

           (f+h)(x) = f(x) + h(x)

           (f+h)(x) = (x + 3) + (x² - 9)

           (f+h)(x) = x + 3 + x² - 9

           (f+h)(x) = x² + x - 9 + 3

           (f+h)(x) = x² + x - 6

       To find (f+h)(-1), substitute -1 for each x

           (f+h)(-1) = (-1)² + (-1) - 6

           (f+h)(-1) = 1 - 1 - 6

           (f+h)(-1) = - 6

           (f+h)(-1) = - 6



Thanks for writing.

Staff
www.solving-math-problems.com



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