- #1

- 144

- 1

y = a^(1/x)

where:

a = a constant

x = the variable...

Also, am I right, that the next function is called an exponential function?

y = a^x

Are the two functions related? Is the first some type of subset of the second?

Thank-ya!

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- Thread starter Square1
- Start date

- #1

- 144

- 1

y = a^(1/x)

where:

a = a constant

x = the variable...

Also, am I right, that the next function is called an exponential function?

y = a^x

Are the two functions related? Is the first some type of subset of the second?

Thank-ya!

- #2

- 4

- 0

- #3

- 144

- 1

One thing though. You said that the second is a case of the first? That's odd I would think that the first is a case of the second since the first has a little bit more complicated looking exponent. Any comments on that?

- #4

- 4

- 0

No, the first is a subcase of the second, but the second is GENERAL case of the first)

There is math term known as 'сombined function' and y1(x) = a^(1/x) is combination of y2(z)=a^z and z(x) = 1/x.

In other words:

y2(z) = a^z (here z is intermediate variable) = a^z(x) = a^(1/x) = y2(z(x)) = y1(x).

It's like russian matryoshka))

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