For fx 6x 4 and gx x2 find the following functions and st

For f(x) = 6x + 4 and g(x) = x^2, find the following functions and state the domain of each. F o g g o f f o f g o g (fog)(x)=

f(x) = 6x+4 and g(x) =x^2

domain means the values of \'x\' that the function can have

f(x) domain: (-infinite, +infinite) [ there is no restrictions on \'x\' ]

g(x) domain also (-infinite, +infinite)

a).

(fog)(x) = f[g(x)]

= f[x^2]

= 6x^2 +4

domain: (-infinite, +infinite)

b). (gof)(x) = g[f(x)]

=g[6x+4]

= (6x+4)^2

domain: (-infinite, +infinite)

c).fof(x) =f[f(x)]

=f(6x+4)

= 6(6x+4) +4

=36x +28

domain: (-infinite, +infinite)

d).

gog(x) = g[g(x)]

=g(x^2)

= (x^2)^2

=x^4

domain: (-infinite, +infinite)