# F to the G

1. Oct 3, 2009

### Michael17

Is (fg)(x) the same as (f(g(x))?

2. Oct 3, 2009

### jgens

No, the first is the product of f and g while the second is the composition of f and g.

3. Oct 4, 2009

### LCKurtz

The notation that is frequently used for h which is the composition of f and g is:

$$h = f\circ g$$

4. Oct 5, 2009

### Staff: Mentor

Furthermore, the title of this thread indicates some misunderstanding, and has nothing to do with function products and pertains to function composition only when f is some kind of exponential function.

"f to the g" would be written as follows:
$$f^{g(x)}$$