What is the inverse function of #F(x) = (7/x) - 3 #?
1 Answer
Oct 31, 2015
Explanation:
To invert an (invertible!) function
-
Introduce a dependent variable
#y# defined by the expression of the function in the independent variable#x# :
#y:=f(x)# . -
Switch the roles of the dependent variable
#x# and the independent variable#y# , trying to express#x# as a function of#y# . That function is called inverse function of#f# and it's denoted by#f^{-1}# :
#x=f^{-1}(y)#
In our specific case,
and now we solve for
We conclude that the inverse function of