What is the range of the function # h(x) = 1 /(x^2 - 9)#? Algebra Expressions, Equations, and Functions Domain and Range of a Function 1 Answer Alberto M. Apr 17, 2017 #y\geq -1/9#, #yne 0# Explanation: #y# is in the range if and only if the polynomial #p(x)=yx^2-y9-1=0# has a root, and it has a root if and only if #9+1/ygeq 0# and #yne 0#, so #y\geq -1/9#, #yne 0# Answer link Related questions How do you determine if (-1, 4), (2, 8), (-1, 5) is a function? What is the domain for #f(x)=2x-4#? What is the domain and range for (3,1), (1,-4), and (2, 8)? What is the domain and range of a linear function? Is domain the independent or dependent variable? How do you find the domain and range of a function in interval notation? How do you find domain and range of a rational function? How do you find domain and range of a quadratic function? How do you determine the domain and range of a function? What is Domain and Range of a Function? See all questions in Domain and Range of a Function Impact of this question 2838 views around the world You can reuse this answer Creative Commons License