Hey there! :)
Answer:
C.
Step-by-step explanation:
(f · g)(x), substitute in g(x) for 'x':
[tex](f og)(x)=\frac{4}{\frac{1}{8x}+ 7 }[/tex]
Make denominator contain a common denominator:
[tex](fog)(x) = \frac{4}{\frac{1+56x}{8x} }[/tex]
Dividing fractions, so multiply by reciprocal:
[tex](fog)(x) = 4 * \frac{8x}{1+56x}[/tex]
Multiply and simplify:
[tex](fog)(x) = \frac{32x}{1+56x}[/tex]
Therefore, the correct answer is C.
