lmc535399
lmc535399 lmc535399
  • 29-11-2020
  • Mathematics
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Which of the following pairs of functions are inverses of each other?

Which of the following pairs of functions are inverses of each other class=

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xenia168
xenia168 xenia168
  • 29-11-2020

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]

g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3

B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]  

g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)

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