SOLUTION: I don't understand this question. How do you solve it? simplify f(x) = the quantity 2 x-squared plus 3x plus 1 all over 2x plus 1. Using complete sentences, explain why f(1) = 2, f

Question 590894: I don't understand this question. How do you solve it? simplify f(x) = the quantity 2 x-squared plus 3x plus 1 all over 2x plus 1. Using complete sentences, explain why f(1) = 2, f(0) = 1, and f(-1) = 0, yet f(-one�Chalf) is undefined. Make sure to show your work.
Answer by ad_alta(240) (Show Source): You can put this solution on YOUR website!
Let's rewrite the function f(x)=(2x^2+3x+1)/(2x+1), since we can factor 2x^2+3x+1 into (2x+1)(x+1). We can always cancel the factor of 2x+1, except at -1/2 where the function is undefined (since we can't divide by zero). Thus, f(1)=1+1=2, f(0)=0+1=1, and f(-1)=-1+1=0.
RELATED QUESTIONS
What is the simplified form of x minus 5 over x squared minus 3x minus 10⋅ x plus 2... (answered by josgarithmetic)

f(x)=3X+2 and g(x)=-2X+1 find g(f(-2)) I don't understand how to solve this... (answered by ikleyn)

dearest tutors, please help me regarding my proble..i really need your help.,, if i cant... (answered by funmath)

What is the graph of the function f(x) = the quantity of x squared plus 3 x plus 5, all... (answered by Fombitz)

Simplify completely quantity x squared minus 100 over quantity x squared plus 2 x minus... (answered by ikleyn,Fombitz)

Which one of the following does not find the value of f ′(2) for f(x) = x2 + 3x +... (answered by KMST)

{{{ log( 3,x ) }}} ^2 + {{{ log( 3,x^2) }}} -3 = 0 What is x? Basically, this question (answered by josgarithmetic)

How do you solve x cubed minus 3x squared plus 2x minus 8 divided by x squared plus two (answered by richwmiller)