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OpenStudy (anonymous):
OpenStudy (anonymous):
@ankit042 @Anickyan @DebbieG
OpenStudy (mathstudent55):
Replace f(x) with y. Then solve for x.
OpenStudy (anonymous):
Replace \(f(x)\) with \(y\), like this: \(y = \frac{3x - 2}{6}\).
Then solve for \(x\).
OpenStudy (mathstudent55):
\(f(x) = \dfrac{3x - 2}{6} \)
\(y = \dfrac{3x - 2}{6} \)
Now, do you know how to solve this equation for x?
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OpenStudy (mathstudent55):
First, multiply both sides by 6.
Then, add 2 to both sides.
Finally, divide both sides by 3.
What do you get for x?
OpenStudy (anonymous):
@mathstudent55 i got 7/10
OpenStudy (anonymous):
@mathstudent55 do you think its right?
OpenStudy (anonymous):
@Anickyan can you check my answer
OpenStudy (anonymous):
@romanortiz65, I got this:
\[f⁻¹(y) = \frac{6y + 2}{3}\]
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OpenStudy (anonymous):
ohh okay
OpenStudy (anonymous):
Try doing it on paper.
OpenStudy (anonymous):
@Anickyan can you check my answer
OpenStudy (mathstudent55):
This is how you do it following the steps I listed above:
\(y = \dfrac{3x - 2}{6} \)
First, multiply both sides by 6.
\(6y = 3x - 2 \)
Then, add 2 to both sides.
\(6y + 2 = 3x \)
Finally, divide both sides by 3.
\(2y + \dfrac{2}{3} = x \)
\(x = 2y + \dfrac{2}{3} \)
\(f^{-1}(y) = 2y + \dfrac{2}{3} \)