1 Answer

Richard II · Answer 1 · 2023-07-23T16:17:58+0000

We have to calculate the inverse function of f(x), being:

We can find the inverse function h(x) by calculating:

$y=h(x)\Rightarrow f(h(x))=f(y)=x$

We then can solve as:

$\begin{gathered} f(y)=6y+3=x \\ 6y=x-3 \\ y=(x-3)/(6) \\ h(x)=y=(1)/(6)x-(1)/(2) \end{gathered}$

Answer: The inverse function of f(x) is h(x)=1/6*x-1/2

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