find the domain

Question

(d) Find the domain of the function   f(x)=ln(8−2^x2)

Answer 1

Since the domain of ln(x) is x > 0, solving 8-2^(x^2) > 0 for x,

8 = 2^3 > 2^(x^2)

x^2 < 3

 

Answer: -sqrt(3) < x < sqrt(3)