Question

Is the function k(x)=c the same as g(x)=x ? no values are given for the variables.

Answer 1

f(x)=x

Answer 2

I mean g(x), (whatever...)

Answer 3

k(x) = c is not the same function as g(x) = x.

Let me just tell you what I really mean by that.

Any function of (x) gives a value f(x) for ANY value of x.

For eg.



Thus, we just a perform a function on the 'x' to get an image or another value on y.

So k(x) = c

Where if 'c' is a constant. ALL x VALUES give the SAME y value which IS 'c'.
So the function k(x), looks something like this:



And for g(x) = x, the y value constantly changes as 'x' increases or decreases.
So, when x = 1, g(x) = 1
when x = 2, g(x) = 2
when x = any real number, g(x) = any real number.

Thus, the function 'g' would look something like this:



Understood? :)

Answer 4

Ah, yes. That makes sense. Thanks.