What is the inverse of f(x)=.5(5-3.74)^3 -1 - The Office Equipment & Supplies

The inverse cosine function is defined for arguments from -1 to +1. 6 is outside of this domain, thus the error. Do you get an error if you try the inverse cosine of 0.6, for example?

If you're getting the same error for the inverse tangent, could you post an example?

I suspect that you are confusing things a bit.
The inverse sine, called the arcsine is a function defined in the closed interval [-1,1]. And so is the inverse cosine. Any value outside this interval will give you a non-real result (meaning a complex one).
There are no limitations on the domain of definition of the inverse hyperbolic sine or sinh^-1
If your input value is allowed to be complex, the arcsine function gives a complex value. See the screen capture

The inverse of a function usually shares the same physical key as the direct function.

That depends on what you want to invert.

If you want the multiplicative inverse (1/x) then it's the "1-superscript-minus-one" key just below the "MATH" key.

If you want the additive inverse then it's the "(-)" key just to the right of the decimal point key.

If you want the inverse of many of the built-in functions (like the trig functions) then press the "2ND" key at the upper-left before pressing the function key.

For the inverse of some functions you'll have to go through the menus.

If you have a particular inverse in mind, please reply to this post and specify exactly what you'd like to invert.

It depends on what you want the inverse of. For many functions on the primary keys, you can get the inverse of that function by pressing 2ND and then the key. If you just want the inverse of a number, use the x^-1 key (located in the left column, just under the MATH key).

If you have something else in mind, feel free to reply to this post and specify what you want the inverse of.

It is much more enlightning to tell us what you want to do rather than talk about something that does not exist. And one thing that does not mean anything is that ellusive INVERSE key that everyone and his dog is looking for.
The additive inverse of a number a is its opposite (-a). The key to use is the change key (-).
The multiplicative inverse of non-zero number a is its reciprocal 1/a
The inverse of the natural log (LN) function is the EXPONENTIAL function e^(x). On most calculators if one function is accessed diectly (the marking is on the key), its inverse is accessed by pressing [SHIF] (Casio, or [2nd] (TI) or [2ndF] (Sharp).
The inverse of the function raise 10 to a power [10^x] is [LOG]
Similarly, the inverse of the sine function SIN is the arcsine [sin^-1]. To access the latter, it you press [2nd][SIN]. The same is true for arcosine [2nd][COS], and arctangent [2nd][TAN]

The inverse of the square functions [x^2] is the square root function [2nd][x^2]
Inverse of x^3 is cubic root
This is just a quick overview.

For the reciprocal of a number, enter the number then press the key marked with an x^-1. You might have to use the SHIFT key first. For inverse of trigonometric functions use the SHIFT key followed by the function name. The inverse of LN is e^x. The inverse of log is 10^x. To calculate the inverse of a matrix, enter the name of the (already created) square matrix then press x^-1.

By 'log inverse', you presumably mean the inverse of the logarithm function. There are two logarithm functions on most scientific calculators. Firstly [ln], or natural logarithms, to the base e, where the inverse is e^x. Secondly [log], or logarithms to the base 10, where the inverse is 10^x.

Example 1 : ln(2) = 0.69314718 so e^0.69314718 = 2
Example 2: log(2) = 0.301029995 so 10^0.30102995 = 2

There is no Inverse Cotangent on the Calculator, but you have Inverse Tangent.

Cotangent is just the reciprocal of tangent.




Just inverse the fraction and use inverse tangent to get its cotangent. Hope this helps.

y=2x+1
=> x=(y-1)/2
=>y(inverse)=(x-1)/2

this is beacuse y is a function of x
or y=f(x)
or x=f`(y)(inverse of y)
therefore we substitute x by y(inverse) and y by x