Answer:
f = 13
Step-by-step explanation:
Given f is inversely proportional to [tex]\sqrt{g}[/tex] then the equation relating them is
f = [tex]\frac{k}{\sqrt{g} }[/tex] ← k is the constant of proportion
To find k use the condition when f = 15, g = 169 , then
15 = [tex]\frac{k}{\sqrt{169} }[/tex] = [tex]\frac{k}{13}[/tex] ( multiply both sides by 13 )
195 = k
f = [tex]\frac{195}{\sqrt{g} }[/tex] ← equation of proportion
When g = 225 , then
f = [tex]\frac{195}{\sqrt{225} }[/tex] = [tex]\frac{195}{15}[/tex] = 13
