Question

how do we solve g(F,L,T)=0 for f

the answer should be F=F(L,T)

Answer 1

You need to put it in some context.

Answer 2

did you receive my reply

Answer 3

one

Answer 4

am typing the full statement

Answer 5

we want to calculate the increase in tension F of a wire clamped between two rigid supports a distance L apart when it is cooled from T to T(1)

we know that the equilibrium states of the wire are fixed by specifying two oof the state variables F,L, and T which are related by some equation of state
g(F,L,T)=0

the wire undergoes a process in which it is changed from one equilibrium state (F(1),T(1)) to another (F(2), T(2)) both with the same length.

for any one of these states we may write
g(F,L,T)=0
or solving for F
F=F(L,T)

Answer 6

no idea sry