CupsOfCoffee
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  • 25-10-2019
  • Mathematics
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find the inverse of the given function

find the inverse of the given function class=

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maguimalz
maguimalz maguimalz
  • 25-10-2019

Answer:

[tex]f(x)=\frac{1-7x}{-x-5}[/tex]

Step-by-step explanation:

The inverse of a function can be easily calculated isolating Y and then changing the variables ( X by Y and viceversa).

So we are going to isolate Y from our equation: [tex]y=\frac{5x+1}{-x+7} \\y. (-x+7)=5x+1 \\\\-xy+7y=5x+1\\-xy-5x=1-7y\\x. (-y-5) = 1-7y\\x=\frac{1-7y}{-y-5}\\ \\[/tex]

Now we change the variables and we get:

[tex]f(x)=\frac{1-7x}{-x-5}[/tex]

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