22-05-2015
Mathematics

Answered

Inverse Function:

f-¹ (- 3)

f(x) = 6x - 12

Verified Answer :

Panoyin Panoyin

22-05-2015

f(x) = 6x - 12
        y = 6x - 12
y + 12 = 6x - 12 + 12
y + 12 = 6x
      6    6
¹/₆y + 2 = x
      y = ¹/₆x + 2
   f⁻¹(x) = ¹/₆x + 2
f⁻¹(-3) = ¹/₆(-3) + 2
    f⁻¹(-3) = -¹/₂ + 2
    f⁻¹(-3) = 1¹/₂
(x, f⁻¹(x)) = (-3, 1¹/₂)

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