F(x)=3x-1 g(x) x^3 -5x^2
Find (f o g)(x)

Work Shown:

f(x) = 3x-1

f(x) = 3( x ) - 1

f( g(x) ) = 3( g(x) ) - 1 ... replace every x with g(x)

f( g(x) ) = 3(x^3-5x^2) - 1 ... plug in g(x) = x^3-5x^2

f( g(x) ) = 3x^3-15x^2-1

(f o g)(x) = 3x^3-15x^2-1

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are