matthew4237 matthew4237
  • 15-12-2021
  • Mathematics
contestada

What is the inverse of the function f(x) = 2x – 10?
Oh h(x) = 2x-5
Oh(x) = 2x + 5
Oh(x) = 1/2 x -5
Oh(x) = 2x+5

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loneguy
loneguy loneguy
  • 15-12-2021

[tex]\text{Given that,}\\\\f(x) = 2x -10\\\\\text{Write f(x) as}~ y = 2x -10\\\\\text{Replace x with y and solve for y,}\\\\x =2y-10\\\\\implies 2y = x+10\\\\\implies y= \dfrac 12 (x+10) \\\\\implies y = \dfrac 12x + 5\\\\\implies f^{-1}(x) = \dfrac 12x + 5\\\\\\\text{Hence the inverse of the given function is}~ ~\dfrac 12x + 5[/tex]

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