Question

What's the domain and range for (×+4)-1

Answer 1

$\bf a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}}\\ ---------------\\ thus\\ (x+4)^{-1}\implies \cfrac{1}{x+4}$
$\bf if\qquad \cfrac{1}{0} \implies$ undefined

so.. what value of "x" makes x+4 to 0?

the domain will be, all real numbers, except that value

about the range, "y" will take, whateve "x" can provide.. in this case... I think is all real numbers, except 0, because, if you give a few big values to "x", the fraction will simply have a bigger and bigger denominator, making the fraction smaller and smaller, ever approaching 0, but never getting there