HeyHowsItGoing
HeyHowsItGoing HeyHowsItGoing
  • 15-02-2019
  • Mathematics
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Find the inverse function for f(x)=sqrt2x-6 picture below

Find the inverse function for fxsqrt2x6 picture below class=

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popcornrox37
popcornrox37 popcornrox37
  • 15-02-2019

Answer:

y = (x^2 + 6) / 2

Step-by-step explanation:

Original function: [tex]\sqrt{2x - 6}[/tex]

To find the inverse of a function we have to switch the x and y values and solve for y again

x = sqrt (2y-6)

To get rid of a square root we square the square root so:

x^2 = 2y-6

Add 6

x^2 + 6 = 2y

Divide by 2

y = (x^2 + 6) / 2

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