Determine if the function f(x) is the simplified form of g(x). If it is, state the non-permissible values. If it is not, determine the corrected simplified form, including the non-permissible values. (2 marks) - Show your work

g(x)=2x^2-7x+3/x-3, f(x)=2x+1

To determine if the function f(x) is the simplified form of g(x), we need to compare the two functions.

First, let's compare the simplified forms of g(x) and f(x):

g(x) = 2x^2 - 7x + 3 / (x - 3)
f(x) = 2x + 1

From a quick comparison, we can see that the simplified forms of g(x) and f(x) are not the same since they have different expressions.

To find the corrected simplified form of g(x), we need to start with the given expression and simplify it:

g(x) = (2x^2 - 7x + 3) / (x - 3)

Next, let's factor the numerator:

g(x) = [(2x - 1)(x - 3)] / (x - 3)

Now, we can simplify the expression by canceling out the common factor of (x - 3) in the numerator and denominator:

g(x) = 2x - 1

So, the corrected simplified form of g(x) is 2x - 1.

To find the non-permissible values, we need to identify the values of x for which the expression is undefined. In this case, the expression is undefined when the denominator (x - 3) equals zero because division by zero is undefined.

To find the non-permissible values, we set the denominator equal to zero and solve for x:

x - 3 = 0

Adding 3 to both sides:

x = 3

Therefore, the non-permissible value for g(x) is x = 3.

In summary, the simplified form of g(x) is not the same as f(x). The corrected simplified form of g(x) is 2x - 1, and the non-permissible value is x = 3.