-6 is a number, not a function and so there is not an inverse function.
No. The inverse of an exponential function is a logarithmic function.
X squared is not an inverse function; it is a quadratic function.
y = sin x is such a function. It has an inverse, of course; but the inverse, sin-1, strictly speaking, is not a function.Example: Given that x = pi/6, y must equal 0.5. However, given that y = 0.5, x can equal pi/6, 5 pi/6, 13 pi/6, 17 pi/6, or an infinity of values, both positive and negative.For y to be a function of x, and x to be, also, a function of y, there must be exactly one value of y that answers to a given value of x, and vice-versa. Then, and only then, is each function the inverse of the other.
Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.
Logarithmic Function
The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".
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.
No. The inverse of an exponential function is a logarithmic function.
The original function's RANGE becomes the inverse function's domain.
The inverse of the cubic function is the cube root function.
X squared is not an inverse function; it is a quadratic function.
y = sin x is such a function. It has an inverse, of course; but the inverse, sin-1, strictly speaking, is not a function.Example: Given that x = pi/6, y must equal 0.5. However, given that y = 0.5, x can equal pi/6, 5 pi/6, 13 pi/6, 17 pi/6, or an infinity of values, both positive and negative.For y to be a function of x, and x to be, also, a function of y, there must be exactly one value of y that answers to a given value of x, and vice-versa. Then, and only then, is each function the inverse of the other.
Range
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
range TPate
These are the for inverse operations:Multiplications inverse is divisionDivisions inverse is multiplicationAdditions inverse is subtractionSubtractions inverse is addition
The inverse of the cosine is the secant.