The value of the composite function (f/g)(5) is 54/5
Complete question
If f(x) = 7 + 4x and g (x) = 1/2x, what is the value of (f/g)(5)?
How to evaluate the composite function?
The functions are given as:
f(x) = 7 + 4x
g(x) = 1/2(x)
Calculate f(5)
f(5) = 7 + 4 * 5 = 27
Calculate g(5)
g(5) = 1/2(5) = 5/2
So, we have:
(f/g)(5) = f(5)/g(5)
This gives
(f/g)(5) = 27/(5/2)
Express as product
(f/g)(5) = 27 * 2/5
Evaluate the product
(f/g)(5) = 54/5
Hence, the value of the composite function (f/g)(5) is 54/5
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