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We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some functions, it is possible to express x in terms of y so that, given the value of y, the value of x can be uniquely determined. The function that expresses the variable x in terms of the variable y is called the inverse function and is denoted by x = f-1 (y).
Example
y = f(x) = 5x + 3
Solving x in terms of y,
x
Derivatives The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is
assignment of mathematics in b.sc. 1sem
A man enter a lucky draw that requires him to pick five different integers from 1 through 30 inclusive .he chooses his five number in such a way that the sum of their log base 10 i
How we calculate region for curve tracing
if you start a business and john creates 6 t shirts more than pedro and pedro four t shirts less than eva and between the three of then made 22 tshirts, how many t-shirts made each
Calculate average speed of a train: What is the average speed of a train which completes a 450-mile trip in 5 hours? Solution: Using Equation 15: V av = s/t V a
I need help solving this question...You have to design a rectangular flyer. The top and bottom must have 5" margins and the left and right sides must have 2" margins. If you must
Question: a. What is the inverse of f (x)? b. Graph the inverse function from part (a). c. Rewrite the inverse function from part (a) in exponential form. d. Evaluate
Write down the first few terms of each of the subsequent sequences. 1. {n+1 / n 2 } ∞ n=1 2. {(-1)n+1 / 2n} ∞ n=0 3. {bn} ∞ n=1, where bn = nth digit of ? So
Deflation Indexes may be utilized to deflate time series so that comparisons among periods may be made in real terms. This is a process of decreases a value measured in cur
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