Question

Which equation below represents the inverse function

Answer 1

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.