SOLUTION: Find the domain of the function: p(x)=x^2-2x+5 What is the domain of p? a) {x|x is a real number} b) {x|x is a real number and x≠0} c) {x|x is a real number and x&

Algebra ->  Functions -> SOLUTION: Find the domain of the function: p(x)=x^2-2x+5 What is the domain of p? a) {x|x is a real number} b) {x|x is a real number and x≠0} c) {x|x is a real number and x&      Log On


   



Question 392180: Find the domain of the function:
p(x)=x^2-2x+5
What is the domain of p?
a) {x|x is a real number}
b) {x|x is a real number and x≠0}
c) {x|x is a real number and x≠5}
d) {x|x is a real number and x>0}

Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
p(x)=x^2-2x+5
Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex
completing the square to put into vertex form
p(x) = (x-1)^2 + 4 vertex Pt(1,4) is a minimum pt, a>0, parabola opens upward
Although the range of p(x) is p(x)>= 4, the domain x-values are all real numbers


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of the function:
p(x)=x^2-2x+5
What is the domain of p?
The domain is the set of Real Number values the variable
"x" can take.
--------------------------------------
a) {x|x is a real number}
b) {x|x is a real number and x≠0}
c) {x|x is a real number and x≠5}
d) {x|x is a real number and x>0}
-----------------
Ans: x is unrestricted.
Ans: a
=============
Cheers,
Stan H.