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If $f(x) = \frac{4x+1}{3}$ what is the value of $\left[f^{-1}(1)\right]^{-1}$ ?

tertre Dec 28, 2017

CPhill · Answer 1 · 2017-12-29T12:02:37

First.....we can solve

[ 4x + 1 ] / 3 = 1

4x + 1 = 3

4x = 2

x = 2/4 = 1/2

So ( 1/2, 1) is on the orginal graph

So..... (1, 1/2) is on the inverse

So....

[ f ^-1 (1) ] ^-1 = [ (1/2) ]^-1 = 1 / (1/2) = 2