Question

If fix)-*-6-, g(x)= x+4, and h(x) – 3x-2, what is (nofog)(x)?Xo (hofog)(x) = x=23х – 8o (nofog)(x)=X+4.(xo (nºfog)(x)- 34-4

Answer 1

we have

f(x)=(x-6)/x

g(x)=x+4

h(x)=3x-2

so

(hofog)(x)

step 1

Find (hof)(x)

(hof)(x)=h(f(x))=3((x-6)/x)-2

step 2

Find (hof)o(g)*x)

(hofog)(x)=3((x+4-6)/(x+4))-2=3((x-2)/(x+4))-2

answer is

3((x-2)/(x+4))-2