malolomom
malolomom malolomom
  • 13-08-2021
  • Mathematics
contestada

If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?

If a function is defined by the equation y 12x 32 which equation defines the inverse of this function class=

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jimrgrant1 jimrgrant1
  • 13-08-2021

Answer:

B

Step-by-step explanation:

Rearrange the equation making x the subject

y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )

2y = x - 3 ( add 3 to both sides )

2y + 3 = x

Change y back into terms of x with x being the inverse function, that is

y = 2x + 3 → B

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