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Linear Inequations
A statement is an assertion or a sentence that is either true or false, but not both. A variable is a symbol that may represent any member of a specified set called replacement set or domain of that variable. A mathematical expression is a symbolic representation for a mem..
Simultaneous inequations
1) - Graph the followin..
Function
Function - We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a fuc..
Summary
A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a linear equation , we transpose all the terms containing the variable to one side and the constant terms to the other. The equation then red..
Statement:
f : S T, g : T U and h : U V be function then a) (hog)of = ho(gof). b) If each f and g is one-to-one then so is gof. c) If each f and g is onto then so is gof...
Example:
Discuss the continuity of the function f given by f(x) = |x - 1| + |x - 2| at x=1..
algebra 1 book teachers
(ii) f - 1 of = fof - 1 = I A (iii) (f - 1 ) - 1 = f (iv) (fog) - 1 = g - 1 of - 1..
Symmetric Functions
We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the following pairs of n..
Suggested answer:
2x + y = 5 y = 5 - 2x Put x = 0, y = 5 x = 1, y = 5 - 2 = 3 x = 2, y = 5 - 4 = 1 x = 3, y = 5 - 6 = -1..
Example 2:
If f is a relation from a set A to set B such that f f -1 then, prove that f = f -1..
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