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No.
In general, a function f (from set A to set B) has an inverse if, for any elements a and b in A [f(a) and f(b) in B],
f(a) = f(b) imples that a = b.
Strictly speaking then, y = x2 does not have an inverse because each value of x2 (except 0) maps on to 2 distinct values of y. This does not accord with the definition of a function.
For example, f(-2) = f(2) = 4
but -2 is not 2 so sqrt is technically NOT a function.
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How are exponential and logarithmic functions related?
They are inverses of each other.
What is the difference between exponential functions and logarithmic functions?
Exponential and logarithmic functions are different in so far as each is interchangeable with the other depending on how the numbers in a problem are expressed. It is simple to translate exponential equations into logarithmic functions with the aid of certain principles.
How do you find the inverse of a function?
you take f(g(x)) and g(f(x)) of the two functions and the answers should be the same, if the answers are different they are not inverses.
Describe a situation that could be represented by g x?
A situation that could be represented by g x is when proving that 2 given functions are inverses of Each Other.
What is an inverse hyperbolic function?
The inverses of hyperbolic function are the area hyperbolic functions. They are called area functions becasue they compute the area of a sector of the unit hyperbola x2 − y2 = 1 This is similar to the inverse trig functions which correspond to arclength of a sector on the unit circle
What is true about functions and their inverses?
They are bijections.
What can undo operations?
Inverse functions? (not sure what you mean)
How are exponential and logarithmic functions related?
They are inverses of each other.
What is the relationship between exponential and logarithmic functions?
Exponential and logarithmic functions are inverses of each other.
What is an inverse function in mathematics?
Inverse functions are two functions that "undo" each other. Formally stated, f(x) and g(x) are inverses if f(g(x)) = x. Multiplication and division are examples of two functions that are inverses of each other.
What is an arcsine?
An arcsine is any of the single- or multivalued functions which are inverses of the sine function.
How are the graphs of linear functions and their inverses related?
They are reflected in the line of y=x
How would you explain logarithmic converter?
Logarithmic functions are converted to become exponential functions because both are inverses of one another.
What operation undo each other?
Inverse oprations. Here are some examples (with some values excluded where one or the other operation is not defined or where one of the functions is not uniquely defined): Addition and subtraction are inverses of each other, Multiplication and division are inverses of each other, Exponentiation and logariths are mutual inverses, Trigonometric functions and their arc equivalents are mutual inverses, Clockwise rotation and anticlockwise rotation are mutual inverses. Squaring (a non-negative number) and the principal square-root of a non-negative number.
What is an arctangent?
An arctangent is any of several single-valued or multivalued functions which are inverses of the tangent function.
What is trigonometry's circular function?
The basic circular functions are sine, cosine and tangent. Then there are their reciprocals and inverses.
What is an arccosine?
An arccosine is any of several single-valued or multivalued functions which are inverses of the cosine function.
