The value of the function f(x) = 2x/(2x + 3).
What is defined as the function?
A function is defined as a relationship between a set of inputs that each have one output.
- A function is a connection between inputs in which each input is related to precisely one output.
- Every function does have a domain and a co-domain, as well as a range.
- In general, a function is denoted by f(x), where x is the input.
Now, as per the question, the functions are give as;
h(x) = (2x + 3)/x
g(x) = 2/x
And, g(f (x) ) = h(x) = (2x + 3)/x ......(equation 1)
To estimate the value of f (x); Substitute x for f(x)
g(f (x) ) = 2/f (x) ......(equation 2)
Equation (equation 1 and 2).
2/f (x) = (2x + 3)/x
f (x) = 2x/ (2x + 3)
Thus, the value of the function f (x) = 2x/ (2x + 3).
To know more about the function, here
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The correct question is-
The function h (x) = StartFraction 2 (x + 3) Over x EndFraction is a result of the composition (g compose f) (x). If g (x) = StartFraction 2 over x EndFraction, what is f(x)?