Math

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I wanted to double check that I am correct on the work area and answers please.

1.Given f(x)=x+2 and g(x)= 3x-4. Find (f+g).
Work: (x+2) + (3x-4)
Answer: 4x-2

2.Given f(x)=x+2 and g(x)=3x-4. Find (f*g).
Work: (x+2)(3x-4)
Answer: 3x² +2x-8

3.Given f(x)=x+2 and g(x)=3x-4. Find (f*g)(x).
Work: f(3x-4)= (3x+4)+2
Answer: 3x-2

4.Given f(x)=x+2 and g(x)= 3x-4. Find (f*g)(1).
Work: g(1)= 3(1)-4= -1
F(-1)= (-1+2)=1
Answer: 1

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