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Which equation below represents the inverse function

Which equation below represents the inverse function-example-1

1 Answer

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Given function is
a(b)=10*(b+7)/(2)

Or,
a=10*(b+7)/(2)

First step is to find the inverse is switch a and b. Therefore, the above equation will be:


b=10*(a+7)/(2)

b = 5*(a + 7) By simplifying.

b = 5a + 35

Next step is to solve the equation for a to get the inverse of a (b). So, subtract 35 from each sides to isolate a. Hence,

b - 35 = 5a


(b-35)/(5) =(5a)/(5)


(b)/(5) -(35)/(5)=a


(b)/(5) - 7 = a

Therefore , the inverse is
b(a)=(a)/(5) - 7.

So, c is the correct choice.

User Carleton
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