Question

Let f(x) = 4x + 3 and g(x) = 7x − 6. Find the function. f/g (f/g)(x) = Find the domain. (Enter your answer using interval notation.)

Answer 1

Answer:

$f(x) = 4x + 3 \,,\,\,\,g(x) = 7x-6\\(f/g)(x)=\frac{4x+3}{7x-6}\,,\,\,\,7x-6\neq0\implies x\neq \frac{6}{7}\\\mbox{Domain:}\,\,\,x\in(-\infty,\frac{6}{7}) \cup (\frac{6}{7},+\infty)$