Find the domain and range of the function f(x) = 3x^2 - 5 Also find f(-3) and the numbers which - Maths - Relations and Functions

Question

Find the domain and range of the function f(x) = 3x^2 - 5 Also find
f(-3) and the numbers which are associated with the number 43 in
the range

Devesh Kumar · Accepted Answer

We have to find domain & range of function   fx=3x2-5There is no restriction for the 'x' values 
so, domain is R all real no
s&  Range is -5,∞          Answeras minimum value of 3x2 can be 0
so,3x2-5=-5    Now, f-3=3-32-5                 =3×9-5                 =27-5=22 Therefore, f-3=22  Answeralso, fx=43=3x2-5⇒3x2=48⇒x2=16⇒x=±4  Answer

Find the domain and range of the function f(x) = 3x^2 - 5.Also find f(-3) and the numbers which are associated with the number 43 in the range.