In this post questions are to find composite and inverse of functions. Function
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Inverse
Domain and Range of Function
Domain and range of functions are an important concept . Domain values define on x – axis and Range is values on y- axis in the graph. Due to these values of functions, continuity of function defined. Another use of domain to show function defined. While range defined minimum and maximum value of function. […]
Inverse and Composite function
Inverses and Composites are two important concept of functions. Composite function is defined as one function defined inside another function. Like ff(x)) or f(g(x)) etc. Concept of inverse is interchange of variables . Inverse notations are f-1(x),g-1(x) etc. Hence interchange is inverse. Therefore function and its inverse is reflection about y = x. Inverse and composite
Inverse and composite function
Inverses and Composite are two important concept of functions. Composite function is defined as one function defined inside another function. Like ff(x)) or f(g(x)) etc. Concept of inverse is interchange of variables . Inverse notations are f-1(x),g-1(x) etc. Hence interchange is inverse. Therefore function and its inverse is reflection about y = x. inverse and […]
Inverse of function
Inverse of functions is an important concept . Domain values and Range values gets interchange . Due to these values of functions, continuity of function also change. Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x. Inverse of Function
Operation of Matrices
Addition of matrices is commutative which means A+B = B+A. Addition of matrices is associative which means A+(B+C) = (A+B)+C. The order of matrices A, B and A+B is always same. … The complexity of addition operation is O(m*n) where m*n is order of matrices Operation of Matrices
Inverse of Matrix
Matrix Inverses Multiplicative Inverse of a Matrix. For a square matrix A, the inverse is written A-1. When A is multiplied by A-1 get identity matrix. When det(A) is zero inverse not exists. Hence singular matrix has no inverse. Inverse of Matrix
Inverse of Function
Inverse of functions are an important concept . Domain values and Range values gets interchange . Due to these values of functions, continuity of function also change. Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x. Inverse of function
Exponent and Logarithm inverses
The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. It is called the logarithmic function with base […]
