What is the domain and range of g(x) = 1/(7-x)^2g(x)=1(7−x)2?
1 Answer
Domain:
Range:
Explanation:
The domain of the function will have to take into account the fact that the denominator cannot be equal to zero.
This means that any value of
In your case, you have
(7-x)^2 = 0 implies x = 7(7−x)2=0⇒x=7
This means that the domain of the function will be
To find the range of the function, first note that a fractional expression can only be equal to zero if the numerator is equal to zero.
In your case, the numberator is constant and equal to
Moreover, the denominator will always be positive, since you're dealing with a square. This means that the range of the function will be
graph{1/(7-x)^2 [-20.28, 20.27, -10.14, 10.12]}
