Question

Help me answer please

Answer 1

Explanation:

f and g are perpendicular

slope of g(x) = -1/3

Now,

`g(x) =(-1)/(3)x+b`

f(x) and g(x) intersect at (2,14)

So, line defined by g(x) go through (2,14)

`14=(-1)/(3)*2+b\\\\14=(-2)/(3)+b\\\\\\14+(2)/(3)=b\\\\(14*3)/(1*3)+(2)/(3)=b\\\\\\(42)/(3)+(2)/(3)=b\\\\\\b=(44)/(3)`

`a +b =(-1)/(3)+(44)/(3)=(43)/(3)`