What is the domain and range of #5/(4(x+2)^2) -1#?
we should take a look at the denominator and notice that it resets if x=-2.
the domain: we'll compare the denominator to 0 to get
for the range: we'll find the inverse function and compare it to 0. the original function:
now we get:
we'll find the 2 roots:
so the range is f(x)>-1