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

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

Guest Sep 22, 2017

#1
+93356
+4

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 !!

Melody  Sep 22, 2017
#1
+93356
+4

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 !!

Melody  Sep 22, 2017