This is about the Combinations of Functions

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This is about the Combinations of Functions. I'm in precal and I need help. Please explain how you got your answer.

 

Given the functions: f(x)= x^2+3x and g(x)=-3+x, what is f(g(x))?

a) x^2-3x

b) x^2-3x+9

c) x^2+3x+9

d) 3x+9

 

Given the functions: f(x)=a^2-2ab+b^c and g(x)=-3b^2c+6ab, what is (f-g)(x)?

a) a^2-8ab+4b^2c

b) a^2-8ab+2b^2c

c) a^2+8ab-2b^2c

d) a^2+8ab-4b^2c

 

Given the functions: f(x)=x^2+3x and g(x)=-3+x, what is f(x) + g(x)?

x^2+3x-3

x^2+4x-3

x^2-3x+3

x^2-4x+3

 

Given the functions: f(x)= x^2-9 and g(x)=x-3, what is (f/g)(x)?

x-3

x-9

x+3

x+9