Given f(x) = 2root x+7 and g(x) = 5x^2 – 9, evaluate (f/g)(2) . I don't understand how to do this, can someone please explain the process??!! thanks!
To evaluate (f/g)(2), we need to substitute the value of 2 into both functions f(x) and g(x), and then divide the resulting values.
Let's start with f(x) = 2√(x+7). To find f(2), we substitute 2 for x in f(x):
f(2) = 2√(2+7)
Now, let's evaluate g(x) = 5x^2 – 9. To find g(2), we substitute 2 for x in g(x):
g(2) = 5(2)^2 – 9
Simplifying these expressions will give us the values of f(2) and g(2):
f(2) = 2√(2+7) = 2√(9) = 2(3) = 6
g(2) = 5(2)^2 – 9 = 5(4) – 9 = 20 – 9 = 11
Now, we can evaluate (f/g)(2) by dividing f(2) by g(2):
(f/g)(2) = f(2) / g(2) = 6 / 11
Therefore, the value of (f/g)(2) is 6/11.