Question

please help this one is really hard for me

Simplify f(x)=2x^2+3x+1/2x+1
Using complete sentences, explain why f(1) =2, f(0)=1 and f(-1)=0, yet f(-1/2) is undefined. Be sure to show your work

Answer 1

Because f(-1/2) has zero in denominator.

Answer 2

Factor the top part of the function and simplify

Answer 3

In denominator,
2x + 1 = 0
2x = -1
x = -1/2

f(x) is undefined when x = -1/2

Answer 4

It is likely to be more clear if you write it correctly.

f(x)=(2x^2+3x+1)/(2x+1)

The parentheses are NOT optional.