y=f(x)=(2x-3)/(3x|-2) find f(y)?
Answers
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Answer:
Concept :
Y and x are coupled in such a way that there is a distinct value of y for each value of x, and this connection is frequently represented as y = f(x), or "f of x." In other words, the same x cannot have more than one value for f(x). A function connects an element x to an element f(x) in another set, to use the language of set theory. The domain and range of the function are the set of values of f(x) that are produced by the values in the domain of the function, which is the set of values of x. In addition to f(x), alternative shorthand symbols for functions of the independent variable x include g(x) and P(x), especially when the nature of the function is ambiguous or uncertain.
Explanation:
Given :
f(x) = 2x-3 / 3x-2
y = 2x-3 / 3x-2
To find :
f(y) = ?
Solution :
Substitute the value of y in +(x),
f(y) = [2 (2x-3 / 3x-2)-3] / [3 (2x -3/ 3x - 2)-2]
= (2 (2x - 3) -3 (3x - 2)] / [3 (2x - 3)-2 (3x -9])
= [4x - 6 - 9x + 6] / [6x - 9 - 6x +4]
= [-5x] / [-5]
= x
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