How do you find the equation for the inverse of $y = 6 x - 3$ $y=6x-3$ ?

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How do you find the equation for the inverse of $y = 6 x - 3$ $y=6x-3$ ?

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Answer 1 · 2018-07-22T13:04:47

$f^{- 1} (x) = \frac{x + 3}{6}$ $f^-1(x)=(x+3)/6$

Explanation:

$rearrange making x the subject$ $"rearrange making x the subject"$

$6 x - 3 = y$ $6x-3=y$

$6 x = y + 3$ $6x=y+3$

$x = \frac{y + 3}{6}$ $x=(y+3)/6$

$\Rightarrow f^{- 1} (x) = \frac{x + 3}{6}$ $rArrf^-1(x)=(x+3)/6$

Answer 2 · 2018-07-22T13:12:45

$y = \frac{x + 3}{6}$ $y=\frac{x+3}{6}$

Explanation:

Given function:

$y = 6 x - 3$ $y=6x-3$

$6 x = y + 3$ $6x=y+3$

$x = \frac{y + 3}{6}$ $x=\frac{y+3}{6}$

Now, setting $y = x$ $y=x$ & $x = y$ $x=y$ in above function, we get the inverse function

$y = \frac{x + 3}{6}$ $y=\frac{x+3}{6}$

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How do you find the equation for the inverse of $y = 6 x - 3$ $y=6x-3$ ?

2 Answers

Explanation:

Explanation:

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How do you find the equation for the inverse of $y = 6 x - 3$ $y=6x-3$ ?