Calculus, 8th Edition,stewart; page 19 problem 2

Question

If f(x) = (x^2-x)/(x-1) and g(x) = x is it true that f = g?

Answer 1

Step 1:

The two functions are  and .

Domain test :

Find the domain of .

All possible values of  is the domain of the function.

The denominator of the function should not be equal to zero.

The domain of the function  is .

Find the domain of .

All possible values of  is the domain of the function.

Since the function is a linear function.

The domain of the function is the set of all real numbers.

The domain of the function  is .

Here the domains of the two functions are not equal.

Therefore the functions are not equal.

Solution:

No, .