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 !!
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 !!