Question #cffe9 Precalculus Functions Defined and Notation Modeling with Functions 1 Answer Narad T. Mar 24, 2017 The inverse is #=root(5)(x-2)# Explanation: Let #y=x^5+2# Then, #x^5=y-2# #x=root(5)(y-2)# Therefore, #f^-1(x)=root(5)(x-2)# Verification #f(f^-1(x))=f(root(5)(x-2))=(root(5)(x-2))^5+2# #=x-2+2=x# Answer link Related questions How can a function model value? What is the equation for a billing process that has a one-time fee of $100 and a monthly charge of $25? How is growth related to the slope of a linear function? Which type of function should be used to model bacterial growth? What type of function should be used to model the interest on a bank account? If a cylindrical can has a surface area of 60 square inches, how do you express the volume of... A bank account yields 7 percent interest, compounded annually. If you deposit $1,000 in the... The person walks 10 miles in total. If w represents the (variable) distance west she walks, and... How do you prove algebraically (not graphically): #f (x) =(2x-3)/(3x-2)# is one to one function? Is the statement true: #f(x)=x^3#? See all questions in Modeling with Functions Impact of this question 1856 views around the world You can reuse this answer Creative Commons License