Question

f(x)=7/(x+3) and g(x)=1/x find (f o g)(x)

Answer 1

Answer:

$\frac{7x}{1+3x}$

Step-by-step explanation:

If $f(x)=\frac{7}{x+3}$  and $g(x)=\frac{1}{x}$

Then:

$(fog)(x) = f(g(x))=\frac{7}{g(x)+3} =\frac{7}{\frac{1}{x}+3 } =\frac{7}{\frac{1}{x}+\frac{3x}{x}  }=\\ = \frac{7}{\frac{1+3x}{x} }=\frac{7x}{1+3x}$