Sophia D.

asked • 12/01/15

what is the inverse function of..

h(x) = 2/5x+6

1 Expert Answer

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Mayuran K. answered • 12/01/15

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First interchange x and y in the above equation
 
X = 2 / (5y +6)
 
5y =( 2 / x ) - 6
 
y = (2-6x) /5x
 
That's your inverse
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L. T.

I agree with interchanging the x and y. However, because there are no parentheses around 5x+6 in the original equation, the 6 would not be included in the denominator due to order of operations.
 
Interchange x and y:
x = 2/5y + 6
Subtract 6 from both sides:
x - 6 = 2/5y
Multiply by the reciprocal of 2/5, 5/2 on both sides:
5x/2 - 15 = y
Replace y with h-1(x):
 
h-1(x) = 5x/2 - 15
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12/01/15

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