How do you find the inverse function #f(x) = -3 x^7-2#? Precalculus Polynomial Functions of Higher Degree Polynomial Functions of Higher Degree on a Graphing Calculator 1 Answer George C. Jul 18, 2015 Let #y=f(x)# and apply a sequence of operations to both sides of the equation to isolate #x# and find: #f^(-1)(y) = -root(7)((y+2)/3)# Explanation: Let #y = f(x) = -3x^7-2# Add #2# to both ends to get: #y+2 = -3x^7# Divide both sides by #-3# to get: #x^7 = -(y+2)/3# Take #7#th root to get: #x = root(7)(-(y+2)/3) = -root(7)((y+2)/3)# (since #(-1)^7 = -1#) So #f^(-1)(y) = -root(7)((y+2)/3)# Answer link Related questions What is a higher degree polynomial function? How do I graph #f(x) = x^5 - 3x^4 + 11x - 9# on a TI-84? How do I graph #f(x) = x^5 - 3x^4 + 11x - 9# on an Nspire? How do I find real zeros of #f(x) = x^5 - 3x^4 + 11x - 9# on a TI-84? How do I find extrema of #f(x) = x^7 - 14x^5 - 4x^3 - x^2 + 3# on a graphing calculator? How do you find the degree of the polynomial function #f(x)=-2x+7x^2#? Is #f(x) = 5x^4 - pi(x)^3 + (1/2)# a polynomial function and if so what is the degree? Is #h(x) = sqrt{x} times (sqrt{x} - 1)# a polynomial function and if so what is the degree? Is #g(x) = (x^2 - 5)/(x^3)# a polynomial function and if so what is the degree? #P(x)# is a polynomial function. If #P(x^2) = (a-b+2)x^3 - 2x^2 + (2a+b+7)x - 20# , what is #P(a+b)# ? See all questions in Polynomial Functions of Higher Degree on a Graphing Calculator Impact of this question 3462 views around the world You can reuse this answer Creative Commons License