Question

Drag each tile to the correct box. Not all tiles will be used.

Answer 1

Answer:

Inverse of f(x)

               $f^{l} (x) = \frac{8 x}{3-x}$

Step-by-step explanation:

Explanation:-

Step(i):-

Given the function

                        $f(x) = \frac{3 x}{8+x}$

Given function is one-one and onto function

Hence f(x) is bijection function

                   $y = f(x) = \frac{3 x}{8+x}$

now cross multiplication, we get

            ( 8+x)y = 3 x

             8 y + x y = 3 x

             8 y = 3 x - x y

taking Common 'x' we get

            x (3 - y) = 8 y

                   $x = \frac{8 y}{3-y}$

Step(ii):-

The inverse function

                 $x = \frac{8 y}{3-y} = f^{l}(y)$

The inverse function of x

                  $f^{l}(x) = \frac{8 x}{3-x}$

Final answer:-

Inverse of f(x)

               $f^{l} (x) = \frac{8 x}{3-x}$