Answer:
v = [tex]\frac{fu}{u-f}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{v}[/tex] + [tex]\frac{1}{u}[/tex]
Multiply through by fuv to clear the fractions
uv = fu + fv ( subtract fv from both sides )
uv - fv = fu ← factor out v from each term on the left side
v(u - f) = fu ← divide both sides by (u - f)
v = [tex]\frac{fu}{u-f}[/tex]
