Question

Help needed! Thank you!

Answer 1

Part 1

$(f\circ g)(x)=f(g(x))=\frac{\frac{1}{x}}{\frac{1}{x}-3}$

Multiplying the numerator and denominator by x,

$(f\circ g)(x)=\boxed{\frac{1}{1-3x}}$

Part 2

The domain for this function is all values of x except for when the denominator equals 0 (because then, it would be undefined).

The denominator is equal to 0 when x=1/3, so the domain is $\boxed{x \neq \frac{1}{3}}$