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find the inverse function

Find The Inverse Function class=

Sagot :

Pontonidn

Answer

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

Step by step

[tex]y = \frac{2x}{5} + 2[/tex]

Swap roles of x and y

[tex]x = \frac{2}{5} y + 2[/tex]

Then

[tex]5x = 2y + 10[/tex]

So

[tex]2y = 5x - 10[/tex]

Hence

[tex]y = \frac{5}{2} x - 5[/tex]

Therefore

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

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