Question

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

(2x^2+3x+1)/(2x+1).
(2x+1) (x + 1)/(2x+1)
(x+1)

Answer 2

So, f(x) = (x+1)

if there is f(1) then replace x by 1 and further

Answer 3

for..., let see

explain why f(1) = 2,???

because

f(x) = x + 1
f(1) = 1 + 1
f(1) = 2