a. find an equation for f^-1(x)
b. graph f and f^-1 in the same rectangular coordinate system
c. use interval notation to give the domain and the range of f and f^-1

f(x)=(x-1)^2,x_1

f(x)=(x+2)^3

Question

a. find an equation for f^-1(x)
b. graph f and f^-1 in the same rectangular coordinate system
c. use interval notation to give the domain and the range of f and f^-1

f(x)=(x-1)^2,x_>1

f(x)=(x+2)^3

anonymous · Answer

$$f(x)=(x-1)^2,x \ge1$$

turingtest · Answer

$$y=(x-1)^2$$$$\sqrt y=x-1$$$$\sqrt y+1=x$$$$f^{-1}(x)=\sqrt x+1$$the domain is where f(x) is defined, so for this function$$[0,\infty)$$the range is the set of all possible values of the function, so since x must be at least zero the range is$$ [1,\infty)$$