Question

If f(x) = x +3/3 , then what is f^–1(x) ?

Answer 1

3x-3

Answer 2

\[ We \ write \ like \ this. \ y=(x-3)/3 \ and \ we \ need \ \to\\ get \ x \ rather \ than \ y. \\So \ y=x/3 -1 => x/3=y+1 => x=3y+3So \ f(y)=3y+3. \ Or \ f-1(x)=3x+3\]

Answer 3

if f(x) = \(\large \frac{x+3}{3}\)
then you can rewrite it as \[y = \frac{x+3}{3}\]
now the first step to finding \(\text f^{-1} (x)\) is interchanging x and y
\[x = \frac{y+3}{3}\]
now solve for y. start by multiplying both sides by 3
\[3x = y + 3\]
now subtract 3 from both sides
\[3x - 3 = y\]
therefore
\[\text f^{-1} (x) = 3x - 3\]