4 For the pair of functions find the indicated sum differenc

4. For the pair of functions, find the indicated sum, difference, product, or quotient. f(x) 3x 7, g (x) 9x 5 Find (f g)(x). (Points 1) O -6x 12 O 12x 12 6x 2 6x 2 5. Iff(x)-6Vr and g(z) -x-5, find (gof)(x) (Points 1)

Solution

4. f(x) = 3x -7 ; g(x) = 9x -5

(f - g)(x) = f(x) - g(x) = (3x -7) - (9x -5)

= -6x - 2

Option d

5) f(x) = 6sqrtx ; g(x) = x-5

(g o f)(x) : plug x= f(x) in g(x)

So, ( g o f )(x) = 6sqrt( x-5)

Option b

6) y = x^3

shufted to right by 4 units : ( x-4)^3

shifted up by 1units : (x-4)^3 +1

y = (x-4)^3 +1