Taletha is preparing for an exam in Algebra II. She knows she will be expected to determine if two functions are inverses of each other using composition of functions. Which statement below correctly explains the relationship between two inverses, f and g, using composition of functions? Please help out

Option (4).

Step-by-step explanation:

If a function is f(x) = 7x - 3

Inverse of the function will be,

g(x) = =

Now composite function f[g(x)] =

                                                   = x

And g[f(x)] =

                 = 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.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.