Inverse Function Help (1 Viewer)

[atar90plus]

Hi

Just wondering if you guys can help me with these questions because I was away when my teacher taught the class how to do these questions. Please show full working and solution.

1. c) Find the inverse function f^-1(x) of each function and verify that f^-1[f(x)]=f[f^-1(x)]=x

i) f(x)= (x-1)^2 +2 , x>=1

2. Given f(x)= (x-1)^2 +2, x>=1, Find

c) f^-1[f(a), a<1

3. h(x)= x^3-3x, Find h^-1'(0)

 

[oh well]

This is one of the questions from HSC Past Papers iirc

 

[iampeterr]

just interchange x with y and vice versa

 

[atar90plus]

Not sure about that but I was away when my tutor taught this section of inverse functions

This is one of the questions from HSC Past Papers iirc

 

[Sy123]

Hi

Just wondering if you guys can help me with these questions because I was away when my teacher taught the class how to do these questions. Please show full working and solution.

1. c) Find the inverse function f^-1(x) of each function and verify that f^-1[f(x)]=f[f^-1(x)]=x

i) f(x)= (x-1)^2 +2 , x>=1

2. Given f(x)= (x-1)^2 +2, x>=1, Find

c) f^-1[f(a), a<1

3. h(x)= x^3-3x, Find h^-1'(0)

2. Go by inverse functions logic.
Not sure what its asking here

3. To find

 

[bobmcbob365]

if the dash is supposed to be there for the 3rd q, it's a whole different story.

 

[atar90plus]

Thanks man for your help

2. Go by inverse functions logic.
Not sure what its asking here

3. To find

 

[atar90plus]

Thanks man for your help

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if the dash is supposed to be there for the 3rd q, it's a whole different story.