Answer:
Option (4).
Step-by-step explanation:
If a function is f(x) = 7x - 3
Inverse of the function will be,
g(x) = [tex]f^{-1}(x)[/tex] = [tex]\frac{x+3}{7}[/tex]
Now composite function f[g(x)] = [tex]7(\frac{x+3}{7})-3[/tex]
= x
And g[f(x)] = [tex]\frac{(7x-3)+3}{7}[/tex]
= x
Hence, condition for the inverse functions will be,
f[g(x)] = g[f(x)] = x
Therefore, Option (4) will describe the the composition of two functions.
