Question
For the gieen tundions t and g conpkete parts (a-) For parts (a)-(d), also tird the domar c) Find gNx) t-soo:(smolty your answer ) What is the domain oft-g? Select the correct choice below and, if necessary, Ill in the answer box to compiete your choice OA The doman s (x O B. The doman is [x x is any real umber) (d) Find (x) (use inlegers or fractions tor any numbers in tre expression Use a comma to separate answers as needed) (simplity your answer) what s the domain of? Select the correct chonce below and, it necessary, Tl in the answer box to complete your choice O A. The aomanis (x O B. The doman is (ol x s any real number) se integers or fractons tor any mmbers in he expression Use a coenima so separaie arowers as needed ) ej Find +94 Find (1-9.2)
Explanation / Answer
(c)
(f.g)(x) =f(x) *g(x)
(f.g)(x) =(4x+5)(8x-3)
(f.g)(x) =32x2+28x -15
domain is {x| x is any real number}
(d)
(f/g)(x) =f(x) /g(x)
(f/g)(x) =(4x+5)/(8x-3)
8x-30
=>x3/8
domain is {x| x (-,3/8)U(3/8,)}
domain is {x| x is any real number -{3/8}}
(e)
(f+g)(4)
=f(4) +g(4)
=((4*4)+5)+((8*4)-3)
=(16+5)+(32-3)
=21 +29
=50
(f)
(f-g)(2)
=f(2) -g(2)
=((4*2)+5)-((8*2)-3)
=(8+5)-(16-3)
=13-13
=0
(g)
(f.g)(3) =(32*32)+(28*3) -15
(f.g)(3) =357