Question

Question 1 Find the inverse function of f(x) = -6 Oy= (x – 6)? Oy= (x+6) Oy= x² + 36 Oy= 22 + 6

Answer 1

Let y=f(x):

$\begin{gathered} y=f(x) \\ \Rightarrow y=\sqrt[]{x}-6 \end{gathered}$

Isolate x from the equation:

$\begin{gathered} \sqrt[]{x}=y+6 \\ \Rightarrow x=(y+6)^2 \end{gathered}$

Swap x and y:

$\Rightarrow y=(x+6)^2$

Which is the inverse function of f(x).

Therefore:

$y=(x+6)^2$