SOLUTION: Find the domain and range of the function f(x) = (x^2 + 1)/( 4x^2

SOLUTION: Find the domain and range of the function f(x) = (x^2 + 1)/( 4x^2 - 8x + 3).

Question 1183953: Find the domain and range of the function
f(x) = (x^2 + 1)/( 4x^2 - 8x + 3).
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

domain:
exclude that makes denominator equal to zero
.......use quadratic formula

solutions
=>
=>
so, domain is:
{ element : ,, }

Interval notation:
( , ) U ( , ) U ( , )

range:
the range is the set of y for which the discriminant is greater or equal to zero

->discriminant >=0

.......divide by

use quadratic formula

solutions

range is:
{ element : or }

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