How do you show that #f(x)=7x+1# and #g(x)=(x-1)/7# are inverse functions algebraically and graphically?
2 Answers
They are.
Explanation:
Using the inverse composition rule you know that if (fog)=x and (gof)=x then the functions are inverses.
graphically you can check this if it seems that the functions are reflected over the line x=y.
See below.
Explanation:
For functions:
If
This makes sense if we consider what an inverse function does.
If we put a value
Graphically the inverse function is always a reflection of the function in the line
So:
GRAPH: