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FrozenT [24]
3 years ago
13

Which equation below represents the inverse function

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Given function is a(b)=10*\frac{b+7}{2}

Or, a=10*\frac{b+7}{2}

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

b=10*\frac{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

\frac{b-35}{5} =\frac{5a}{5}

\frac{b}{5} -\frac{35}{5}=a

\frac{b}{5} - 7 = a

Therefore , the inverse is b(a)=\frac{a}{5} - 7.

So, c is the correct choice.

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