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The graph of y=f(x) is shown below in red. Given that f is invertible, find f^{-1}(4)

size(150);real ticklen=3;real tickspace=2;real ticklength=0.1cm;real axisarrowsize=0.14cm;pen axispen=black+1.3bp;real vector...

(Assume grid lines are spaced 1 unit apart.)

 Nov 16, 2014

Best Answer 

 #1
avatar+130511 
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Notice that the point (3,4) is on f(x)....and the inverse graph just "reverses" the coordinates....so....(4, 3) is on the inverse...this means, when we put "4" in for "x" in the inverse, it returned '3"

Therefore.....using f-1(x) and substituting "4' for "x" we have ......  f-1(4) = 3

 

 Nov 16, 2014
 #1
avatar+130511 
+6
Best Answer

Notice that the point (3,4) is on f(x)....and the inverse graph just "reverses" the coordinates....so....(4, 3) is on the inverse...this means, when we put "4" in for "x" in the inverse, it returned '3"

Therefore.....using f-1(x) and substituting "4' for "x" we have ......  f-1(4) = 3

 

CPhill Nov 16, 2014

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