Question

Help please I'm really struggling ​

Answer 1

Answer:

a).

$(fog)(x) = f(g(x)) \\ = (3x + 1) + 4 \\ = 3x + 5$

b).

$(gof)(x) = g(f(x)) \\ = 3(x + 4) + 1 \\ = 3x + 12 + 1 \\ = 3x + 13$

c).

$(fog)( - 2) = 3( - 2) + 5 \\ = - 6 + 5 \\ = - 1$

d).

$(gof)( - 2) = 3( - 2) + 13 \\ = - 6 + 13 \\ = 7$

I hope I helped you^_^