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

Step-by-step solution

Here, f(x)= ⁻¹(2 x)+ 6 , to find domain, we must have, array cc & ⁻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 & x [- 1 4 , 1 2 ] array