Question

Make g the subject of this relation​

Answer 1

see explanation

Explanation:

Simplify the radical

`(U)/((1)/(f)+(1)/(g)  )`

=
`(U)/((g+f)/(fg) )`

=
`(Ufg)/(g+f)`

Square both sides

T² =
`(Ufg)/(g+f)` ( multiply both sides by (g + f) )

T²(g + f) = Ufg ( distribute left side )

T²g + T²f = Ufg ← subtract Ufg from both sides

T²g - Ufg + T²f = 0 ← subtract T²f from both sides

T²g - Ufg = - T²f ← factor out g from each term on the left side

g(T² - Uf) = - T²f ← divide both sides by (T² - Uf)

g = -
`(T^2f)/(T^2-Uf)` =
`(T^2f)/(Uf-T^2)`