What is the inverse equation of the function, y= 3x-6?
Mara Boyd
Answered question
2022-12-31
Answer & Explanation
hachatpg9
Beginner2023-01-01Added 14 answers
We need isolate the y in \(\displaystyle{{f}^{{-{1}}}{\left({x}\right)}}\) to get the proper form of the inverse.
\(\displaystyle{x}={3}{y}-{6}\)
\(\displaystyle{x}+{6}={3}{y}\)
\(\displaystyle\frac{{x}}{{\color{red}{{3}}}}+\frac{{6}}{{\color{red}{{3}}}}=\frac{{\cancel{{{3}}}{y}}}{\cancel{{{\color{red}{{3}}}}}}\)
\(\displaystyle{y}=\frac{{1}}{{3}}{x}+{2}\)
\(\displaystyle{{f}^{{-{{1}}}}{\left({x}\right)}}=\frac{{1}}{{3}}{x}+{2}\)
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