2 Answers

Not a clue how to work this logically, but if f = 2, g =1.5, and x=4, it seems to work.

fx =3x-4 = (2)(4) = 3 (4) - 4 = 8 = 12 - 4 = 8 = 8

gx = x+ 2 = (1.5)(4) = 4 +2 = 6 = 

To find the sum of the functions, it will be.....

f(x) = 3x - 4, g(x)  = x + 2

f(x) + g(x) = 3x + x - 4 + 2 =

4x - 2

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To find the difference of the functions, it will be.......

f(x) = 3x - 4, g(x) = x + 2

f(x) - g(x) = 3x - x - 4 - 2 =

2x - 6

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To find the product of the functions, it will be........

f(x) = 3x - 4, g(x) = x + 2

f(x) * g(x) = (3x * x) + (3x * 2) (- 4 * x) (- 4 * 2)

f(x) * g(x) = 3x^2 + 6x - 4x - 8 =

3x^2 + 2x - 8

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To find the quotient of the functions, it will be.......

f(x) = 3x - 4, g(x) = x + 2

f(x)/g(x) = 3x - 4/x + 2