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One-to-one function: A function is called one-to-one if not any two values of x produce the same y. Mathematically specking, this is the same as saying,
f ( x1 ) ≠ f ( x2 )
whenever x1 ≠ x2
Thus, a function is one-to-one if whenever we plug distinct values into the function we get different function values. Sometimes it is simpler to understand this definition if we illustrates a function that isn't one-to-one.
Let's take a look at a function which isn't one-to-one. The function f ( x )= x2 is not one-to-one since both f ( -2) = 4 and f ( 2) = 4 . In other terms there are two different values of x that generate the same value of y. Note down that we can turn f ( x ) = x2 into a one-to-one function if we limit ourselves to 0 ≤ x <∞ . It can sometimes be done with functions.
Illustrating that a function is one-to-one is frequently tedious and/or difficult. For the most part we are going to suppose that the functions which we're going to be dealing with in this course are either one-to-one or we have limited the domain of the function to get it to be a one-to-one function.
Now, let's formally define just what inverse functions are.
solve and graph the solution set 7x-4 > 5x + 0
table of 12
Function composition: The next topic that we have to discuss here is that of function composition. The composition of f(x) & g(x) is ( f o g ) ( x ) = f ( g ( x )) In other
condition for linearly independent
compare: 643,251: 633,512: 633,893. The answer is 633,512.
An unbiased die is tossed twice .Find the probability of getting a 4,5,6 on the first toss and a 1,2,3,4 on the second toss
assignment of mathematics in b.sc. 1sem
some basics problems to work
two rolls of carpet cost £574, the first cost £8 per meter, the second which is 7m longer costs £7 p/m. how many meters are there in each roll
what is the answer to 2.1 to 4.2
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