How to generate an output table

Some remarks:

You function "a_lang" does not make use of its fourth argument, "xhoch". So you could omit this argument and also can do without your a_lang_local.

Its not mandatory but I would suggest to put the initial guess values inside the solve block.

I noticed that your solve block fails for x-values (a_hoch) which are higher than 669.3844... (obviously for this value a_lang gets zero. 

Your function

works OK  but its inefficient because it calls the solve block three times. Thats quite time consuming if you think on creating a table of values or plotting.

Here is a more efficient way to define that function (the transpose operator was only used because it takes up less vertical space that way):

Now the solve block is called only once.

As we would expect, the function is three times faster:

Now for creating a table of values as was already explained by Stuart.

In a first step you would create a vector of x/a_hoch values. You can manually type in the values, use a range variable to index the vector elements, use the "matrix" function or make use of the "vec" function shown in the picture above. A "vec" function is built-in starting with Prime 11.

After you created your vector you use it as the argument for your or mine a_l(2) function. Note that you have to vectorize the function call (the arrow over the expression).

You can use "augment" to create a table with two columns and may also add a header using the "stack" function:

If you want to plot the data, you could either use the vectors just created

or you define a range variable

and use it for plotting (no need for vectorization; after all a range is not a vector at all!)

Prime 10 worksheet attached

EDIT: File attachment did not work using the mcdx file. It was only after zipping it that the file (the zip archive)  was accepted.