# [Answer] Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

###### Answer: B. f(x) is a one-to-one function.
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

The function f : R → R defined by f ( x ) = 2x + 1 is surjective (and even bijective) because for every real number y we have an x such that f ( x ) = y: such an appropriate x is (y − 1)/2. The function f : R → R defined by f ( x ) = x 3 − 3x is surjective because the pre-image of any real number y is the solution set of the cubic polynomial …

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Sun May 18 2003 14:30:00 GMT-0400 (Eastern Daylight Time) · The notation f −1 is sometimes also used for the inverse function of the function f which is not in general equal to the multiplicative inverse . For example the multiplicative inverse 1/(sin x ) = (sin x ) −1 is the cosecant of x and not the inverse sine of x denoted by sin −1 x or arcsin x . Only for linear maps are they strongly related …

In mathematics a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.. Functions were originally the idealization of how a varying quantity depends on another quantity. For example the position of a planet is a …

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In mathematics a function is a mathematical object that produ…