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lbvjy [14]
4 years ago
15

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

Mathematics
1 answer:
qaws [65]4 years ago
8 0

Answer:

Inverse of f(x)

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

Step-by-step explanation:

<u> Explanation</u>:-

<u>Step(i)</u>:-

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}

<u><em>Step(ii)</em></u>:-

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}

<u><em>Final answer</em></u>:-

Inverse of f(x)

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

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