find (fog)(x) when f(x)=x^+7x+6 and g(x)=1/x+2
A. x^3+9x^2+20x+12/x^2+4x+4
B. 6x^2+31x+39/x^+4x+4
C. x^2+7x+6/x+2
D. x+1
please help
me with this question.
Answer: C. x^2+7x+6/x+2
will assume
f(x)=x^2 + 7x + 6 and g(x)=1/(x+2)
(fog)(x)
= f(g(x))
= f( 1/(x+2) )
= (1/(x+2))^2 + 7(1/(x+2)) + 6
= 1/(x + 2)^2 + 7/(x+2) + 6
not sure if this is what you meant
let me know, and I'll try to simplify it a bit