Question

help medal

Answer 1

@ankit042 @Anickyan @DebbieG

Answer 2

Replace f(x) with y. Then solve for x.

Answer 3

Replace \(f(x)\) with \(y\), like this: \(y = \frac{3x - 2}{6}\).
Then solve for \(x\).

Answer 4

\(f(x) = \dfrac{3x - 2}{6} \)

\(y = \dfrac{3x - 2}{6} \)

Now, do you know how to solve this equation for x?

Answer 5

First, multiply both sides by 6.
Then, add 2 to both sides.
Finally, divide both sides by 3.
What do you get for x?

Answer 6

@mathstudent55 i got 7/10

Answer 7

@mathstudent55 do you think its right?

Answer 8

@Anickyan can you check my answer

Answer 9

@romanortiz65, I got this:

\[f⁻¹(y) = \frac{6y + 2}{3}\]

Answer 10

ohh okay

Answer 11

Try doing it on paper.

Answer 12

@Anickyan can you check my answer

Answer 13

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.

\(2y + \dfrac{2}{3} = x \)

\(x = 2y + \dfrac{2}{3} \)

\(f^{-1}(y) = 2y + \dfrac{2}{3} \)