Answer:
<h2>(f/g)(x) = 3</h2>Step-by-step explanation:
f(x) = 9x + 3
g(x) = 3x + 1
To find (f/g)(x) divide f(x) by g(x)
That's
Factorize f(x)
f(x) = 9x + 3 = 3(3x + 1)
So we have
Simplify
We have the final answer as
<h3>(f/g)(x) = 3</h3>Hope this helps you
Why? Because the denominators are both the same at 2x+8. We can only add or subtract fractions when the denominators are the same. The general rule for adding fractions is
We have numerators A and B added together over a common denominator C. If we didn't have a common denominator, then we'd have to do a bit of algebraic manipulation to get both fractions to a common denominator. It doesn't have to be the lowest common denominator (LCD), though it's often more efficient that way.