Question

suppose that f(x)=lnx for all positive x and g(x)= 9-x^2 for all real x. the domain of f(g(x)) is
a. x<=3
b. abs(x) <= 3
c. abs(x)>3
d. abs(x)<3
e. 0 14 years ago

Answer 1

it says ln(x) has to be greater than 0 right?

Answer 2

what makes g(x) = 3?

Answer 3

.... i mean what makes it = 0 lol

Answer 4

9-x^2 > 0

9 > x^2

+-sqrt(9) > x

+- 3 > x

Answer 5

as long as the absolute value of x is greater than 3, you should be good then