For the gieen tundions t and g conpkete parts (a-) For parts (a)-(d), also tird

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

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