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Which pair of functions are inverses of eachother?

Which Pair Of Functions Are Inverses Of Eachother class=

Sagot :

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Answer:

D

Step-by-step explanation:

A.

y= 6x³

to find the inverse substitute x for y and y for x and solve for y

x= 6y³ ; divide both sides by 6

x/6 =y³ ; cube root both sides

(∛x)/ ∛6 = y

so  (∛x)/6  and 6x³ are NOT inverse of each other

B

y= (x+2)/5

x= (y+2)/5; multiply by 5

5x = y+2; subtract 2

y= 5x-2 NOT corect

C

y = 5x-6

x= 5y-6; add 6 to both sides

x+6 = 5y ; divided by 5 both sides

y = (x+6)/5 is NOT correct

D

y=7x -2

x= 7y-2

x+2 = 7y , (x+2) /7 = y so  IS correct

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