Final answer:
f(x)/g(x) = 3/5. To find f(x)/g(x), substitute the given functions into the expression and simplify.
Step-by-step explanation:
To find f(x)/g(x), we need to substitute the given functions into the expression. Let's do that:
f(x) = 5x and g(x) = 5x/3
Now we can substitute these values into the expression:
f(x)/g(x) = (5x)/(5x/3)
To divide by a fraction, we can multiply by its reciprocal:
f(x)/g(x) = (5x) * (3/5x)
The x terms cancel out:
f(x)/g(x) = 3/5
Therefore, f(x)/g(x) = 3/5.