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what is the inverse of f(x)=1/3x-7 ?

Guest Sep 22, 2017

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 #1
avatar+90567 
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what is the inverse of f(x)=1/3x-7 ?

 

\(y=\frac{1}{3}x-7\\ y+7=\frac{1}{3}x\\ 3(y+7)=x\\ x=3(y+7) \)

 

So the inverse of

\(f(x)=\frac{1}{3}x-7\qquad is\\ f(x)=3(x+7)\)

 

See how the inverse is the refletion of the original function about the line y=x  ?

 

All inverse functions are the reflection of the original function about the line y=x !!    laugh

Melody  Sep 22, 2017
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 #1
avatar+90567 
+4
Best Answer

what is the inverse of f(x)=1/3x-7 ?

 

\(y=\frac{1}{3}x-7\\ y+7=\frac{1}{3}x\\ 3(y+7)=x\\ x=3(y+7) \)

 

So the inverse of

\(f(x)=\frac{1}{3}x-7\qquad is\\ f(x)=3(x+7)\)

 

See how the inverse is the refletion of the original function about the line y=x  ?

 

All inverse functions are the reflection of the original function about the line y=x !!    laugh

Melody  Sep 22, 2017

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