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I will assume your function is f(x) = 2x + 1 (answers.com eliminates some symbols from questions).
First, you write this as:
y = 2x + 1
Next, you exchange "x" and "y":
x = 2y + 1
This is not strictly necessary, but the idea is that the final result is, once again, expressed in terms of "x".
Finally, you solve this new equation for "y":
y = ...
You can then write this as a function if you wish; just replace "y =..." with "f(x) =...".
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What is the inverse of a function?
it is 1 divided by the function
What is the inverse of the cosine function?
The inverse of the cosine function is arcosine. The domain is −1 ≤ x ≤ 1 since the range of the cosine function is from -1 to 1. The range is from 0 to pi radians or 0 to 180 degrees.
What is inverse of a function?
Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2
Is the inverse of the function y x2 still a function?
Y = 1/X2 ==============Can it pass the line test? * * * * * That is not the inverse, but the reciprocal. Not the same thing! The inverse is y = sqrt(x). Onless the range is resticted, the mapping is one-to-many and so not a function.
What is the inverse function of add 6?
The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".
What is the inverse of a function?
it is 1 divided by the function
Is it possible for a fourth degree function to have an inverse that is a function?
In order for a fourth degree function to have an inverse function, its domain must be restricted. Otherwise the inverse function will not pass the vertical-line test.Ex.f(x) = x^4 (x>0), the original functionf-1(x) = x ^ (1/4), the inverse
What is an inverse function?
A function that, given X, will produce Y has an inverse function that will take Y and produce X. More formally:If f(x)=y, then f-1(y)=xWhere f-1() denotes the inverse function of f()
What is the mathematical definition of inverse?
In mathematics, the inverse of a function is a function that "undoes" the original function. More formally, for a function f, its inverse function f^(-1) will produce the original input when applied to the output of f, and vice versa. Inverse functions are denoted by f^(-1)(x) or by using the notation f^(-1).
What is the inverse of the cosine function?
The inverse of the cosine function is arcosine. The domain is −1 ≤ x ≤ 1 since the range of the cosine function is from -1 to 1. The range is from 0 to pi radians or 0 to 180 degrees.
What is the relationships between inverse functions?
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
If g-1(x) is the inverse of g(x) what is the value of g-1(g(x))?
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If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?
The original function's RANGE becomes the inverse function's domain.
What is the inverse function of -6?
-6 is a number, not a function and so there is not an inverse function.
What is the inverse of a cubic function?
The inverse of the cubic function is the cube root function.
What is the additive inverse of 1 half?
Since subtraction is the inverse function of addition, the additive inverse of one half is minus one half.
