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Q: Is inverse of a function always positive?

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a function is a added to the iverse function and multiply the SQURED AND CUBIC OR ethc......

No, because the inverse function would not work. Every time you multiply a positive by a positive you get a positive.

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.

The inverse of the cubic function is the cube root function.

The original function's RANGE becomes the inverse function's domain.

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The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.

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a function is a added to the iverse function and multiply the SQURED AND CUBIC OR ethc......

No, because the inverse function would not work. Every time you multiply a positive by a positive you get a positive.

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.

-6 is a number, not a function and so there is not an inverse function.

The inverse of the cubic function is the cube root function.

The original function's RANGE becomes the inverse function's domain.

A reciprocal function will flip the original function (reciprocal of 3/5 is 5/3). An inverse function will change the x's and y's of the original function (the inverse of x<4,y>8 is y<4, x>8). Whenever a function is reflected over the line y=x, the result is the inverse of that function. The y=x line starts at the origin (0,0) and has a positive slope of one. All an inverse does is flip the domain and range.

The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)

X squared is not an inverse function; it is a quadratic function.

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