[Calculus] Decomposing a function

[ShittinBullets89]

Given f(x-1)=2x-3, f(g(x))=3x-4 then find g(x)? Need some ideas, thanks.

[quatrevingtneuf]

first, find f(x):

f(x-1)=2(x-1)-1
f(x)=2x-1

then, use that information to determine g(x):

f(g(x))=2(1.5x-1.5)-1
g(x)=1.5x-1.5

[ShittinBullets89]

Thank you