Suppose a function f(x) is defined on the domain [-8,4]. If we define a new function g(x) by

g(x) = f(2x - 1)

then what is the domain of g(x)? Express your answer in interval notation.

Guest May 9, 2021

#1**+1 **

Here s my take on it :

f( ? ) is defined only from -8 thru 4 so the ? has to equate to this interval

f(2x-1) must fit in the interval 2x-1 must not go outside of the interval

so 2x-1 = - 8 means x = - 3.5

2x-1 = 4 means x = 2.5

so as far as I can say (I could be wrong) the domain of g(x) = [-3.5,2.5]

ElectricPavlov May 10, 2021