When you find a list of rules from algebra on a "cheat sheet", they always show rules with variables such as a and b.
I have been hoping to find something similar for functions, such as f(x) and g
.
It crossed my mind that since functions f(x) and g compute to numbers, they can be treated the same as the variables a and b, which hold numbers. We interconvert between functions and variables when we write y=f(x) and think nothing of it.
If this is true, all the rules of algebra for variables would hold true for functions.
I know I can't be the first to wonder about this, ;-). Any chance someone knows the name of a theory that covers this, or a person who is given credit for doing work in this area? I need something I can put into Google to research up on this. Thank you.
I have been hoping to find something similar for functions, such as f(x) and g
.It crossed my mind that since functions f(x) and g
compute to numbers, they can be treated the same as the variables a and b, which hold numbers. We interconvert between functions and variables when we write y=f(x) and think nothing of it.If this is true, all the rules of algebra for variables would hold true for functions.
I know I can't be the first to wonder about this, ;-). Any chance someone knows the name of a theory that covers this, or a person who is given credit for doing work in this area? I need something I can put into Google to research up on this. Thank you.