Determine the domain for each function fx5x9 gxx5 1 fgx 2fg

each WOLF ( IS A REGULARY..etiu /5x-7-+5 (f.ok)-k-) VO (. ( 5x-9)(x+5 2. 5 x

Solution

f(x) = 5x - 9

g(x) = x+5

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

= 5x - 9 + x+ 5

= 6x - 4

domain is all real numbers (-infinity , + infinity )

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

= 5x - 9 - x - 5

4x - 14

domain is (-infinity , + infinity )

3) (f*g)(x) = f(x) * g(x)

= (5x - 9 ) ( x+5)

= 5x^2 - 9x + 25x - 45

= 5x^2 + 16x - 45

domain is (-infinity , + infinity )

4) (f/g)(x) = f(x) / g(x)

= (5x-9) / (x+5)

domain is all real numbers except x= -5

( - infinity , -5 ) U (-5 , + infinity )