Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Can someone please help me with problem numbers 16 and 18 in this algebra 2 assignment.Please show your work.

Directions: State if the given functions are inverses.



Can Someone Please Help Me With Problem Numbers 16 And 18 In This Algebra 2 AssignmentPlease Show Your Work Directions State If The Given Functions Are Inverses class=

Sagot :

Answer:

You know inverse is shifting the positions of x and y

so consider the first function

f(x)= [tex](x-1)^{5}[/tex] +2

so y = [tex](x-1)^{5}[/tex]+2

no shift x and y positions

x = [tex](y-1)^{5}[/tex] +2

Now solve for y which gives

x - 2 = [tex](y-1)^{5}[/tex]

[tex]\sqrt[5]{x-2}[/tex] = y - 1

y = [tex]\sqrt[5]{x-2}[/tex] + 1

Hence it is inverse to do the same for the other function

2) y = [tex]\sqrt[3]{x}[/tex] -1

shift positions

x = [tex]\sqrt[3]{y}[/tex] -1

x+1 = [tex]\sqrt[3]{y}[/tex]

y = [tex](x+1)^{3}[/tex]

HEnce it is also inverse