How do you determine whether the function #p(x)=-4# has an inverse and if it does, how do you find the inverse function? Precalculus Functions Defined and Notation Function Composition 1 Answer Dean R. Jun 24, 2018 For a function #p(x)# to have an inverse it needs to be one-to-one, each different value of #x# yielding a different value of #p(x).# Since here all different values of #x# yield the same value for #p(x)#, #p# is not invertible. Answer link Related questions What is function composition? What are some examples of function composition? What are some common mistakes students make with function composition? Is function composition associative? Is it always true that #(f@g)(x) = (g@f)(x)#? If #f(x) = x + 3# and #g(x) = 2x - 7#, what is #(f@g)(x)#? If #f(x) = x^2# and #g(x) = x + 2#, what is #(f@g)(x)#? If #f(x) = x^2# and #g(x) = x + 2#, what is #(g@f)(x)#? What is the domain of #(f@g)(x)#? What is the domain of the composite function #(g@f)(x)#? See all questions in Function Composition Impact of this question 2098 views around the world You can reuse this answer Creative Commons License