Domain of definition of the real valued function f(x)= ⁻¹(2 x)+ 6 is

Step-by-step solution

aligned & & f(x)= ⁻¹(2 x)+ 6 to find domain & & ⁻¹(2 x)+ 6 0 & & But - 2 ⁻¹ 2 & & - 6 ⁻¹(2 x) 2 & & - 6 2 x 2 & & -1 2 2 x 1 & & -1 4 x 1 2 & Domain of ⁻¹(2 x)+ 6 is [- 1 4 , 1 2 ] aligned