Question 61094
FOR EACH PAIR OF FUNCTIONS, FIND (A)(F+G)(X) AND (B) (F-G)(X) 

SOLVE: F(X)=5X-10, G(X)=3X+7

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SOLUTION:


Let f and g be two functions. The sum, f + g, the difference, f – g, the product, fg, and the quotient,  are functions defined as follows:

1. Sum: (f + g)(x) = f(x) + g(x)

2. Difference: (f – g)(x) = f(x) – g(x)
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Let's come back to your solutions:

FIND (A)(F+G)(X) AND (B) (F-G)(X) 


 F(X)=5X-10, 
 
 G(X)=3X+7



 (F+G) x= F(x) + G(x) 
        = 5x -10 + 3x +7
        = 5x + 3x -10 +7
        = 8x - 3

 (F-G)x = F(x) - G(x)
        = 5x -10 - (3x+7)
        = 5x -10 -3x - 7
        = 5x - 3x -10 -7
        = 2x -17