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Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section. There is interesting relationship among the graph of a function and the graph of its inverse.
Following is the graph of the function and inverse of the above examples.
we can illustrates that the graph of the inverse is a reflection of the actual function regarding the line y = x . It will always be the case with the graphs of a function & its inverse.
(x+y+1)dy/dx=1
? (2x+3)dx
Function of a Function Suppose y is a function of z, y = f(z) and z is a function of x, z = g(x)
log6 X + log6 (x-5) = 1
These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then; 1.
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
0.875 of a number is 2282. What is the number ?
Example Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .
Explain English System in details? There are three types of measurements that can be taken using the English System: length, distance, weight, and capacity. Length and dista
Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution
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