Need help with these math problems (College Algebra)

Question

Need help finding the solutions to these problems. I cannot find them.

1.For the given functions f and​ g, complete parts​ (a)-(h). For parts​ (a)-(d), also find the domain.

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

(a)Find(f+g)(x)

(f+g)(x)= [ ] (Simplify your answer)

2.For the given functions f and​ g, complete parts​ (a)-(h). For parts​ (a)-(d), also find the domain.

f(x)= 3x+8/8x-3; g(x)=5x/8x-3

(a) Find (f+g)(x)

(f+g)(x)= [ ] (Simplify your answer)

Answer 1

f+g =3x+4 + 7x -5 = 10x-1

f+g = (3x+8)/(8-3x) + 5x/(8x-3) = (8x+8)/(8-3x)

(f+g)(x) = f(x) + g(x) = 8(x+1)/(8-3x)