Quandaries
and Queries 

Name: karim Question: 

Hi Karim, I am going to simplify my typing by typing h for H(x). If h = log_{3}(4x + 7)  10 then h + 10 = log_{3}(4x + 7). Now think about what log_{3} is.
Thus
The important fact to notice here is that, depending on the value of h, 3^{h + 10}can be any positive real number, but it can't be zero or negative. Thus
that is
Thus the domain of H(x) is {x  x > ^{7}/_{4}} Penny 

