Inverse of Inverse

Algebra Level 3

Let $f(x)$ and $h(x)$ be functions such that $f(2x+1) = h(x).$ Let $g(x)$ be the inverse function of $f(x)$ and let $k(x)$ be the inverse function of $h(x).$ If $g(0) =71 ,$ what is $k(0)?$

72

36

70

35

1 solution

Siddharth Iyer
Apr 1, 2015

given that a result exists we try to come up with a function that satisfies f(2x+1)=h(x) and g(0)=71. We stick hwith a linear function. Let f(x) = x - 71 so that g(0) = 71. We have h(x) = 2x - 70. k(x) = (x+70)/2 using x = 0 we have k(0) = 35

Inverse of Inverse

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