what is the range of the function f(x)=square root of 3x2-4x+5 - Maths - Relations and Functions

Question

what is the range of the function f(x)=square root of
3x2-4x+5?

Tushar Kohli · Accepted Answer

y=3x2-4x+5⇒y2=3x2-4x+5⇒3x2-4x+5-y=0D≥0⇒42-435-y≥0⇒16-60+12y≥0⇒12y≥44⇒y≥113Range
y∈[113,∞)

what is the range of the function f(x)=square root of 3x2-4x+5?