TjC539233 TjC539233
  • 03-11-2022
  • Mathematics
contestada

Find a formula for the inverse of the given function.f(x) = 8x + 5y =

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KamorionU160463 KamorionU160463
  • 03-11-2022

ANSWER

[tex]f^{-1}(x)\text{ = }\frac{x\text{ - 5}}{8}[/tex]

EXPLANATION

We are given the function:

f(x) = 8x + 5

To find the inverse of the function, first replace f(x) with y:

y = 8x + 5

Now, make x the subject of the formula:

y - 5 = 8x

[tex]\Rightarrow\text{ x = }\frac{y\text{ - 5}}{8}[/tex]

Now, replace x with f-1(x) and y with x:

[tex]f^{-1}(x)\text{ = }\frac{x\text{ - 5}}{8}[/tex]

That is the inverse of the given function.

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