Can someone rephrase this with different equations i really need this


even if the inverses of both g(x) and f(x) are functions, the inverse of the sum of g(x) and f(x) may not be a function. as an example, i will use f(x) = 3x +2 and g(x) = 2x - 3. both are one to one functions. the sum of f(x) and g(x) is 5x - 1. as 5x - 1 is also a one to one function, its inverse is a function as well. this example is in favor of the sum of two one to one function also being a one to one function. but take c(x) = (5x - 1)/ ((x/2) + 4 ) as another example. c(x) + f(x) is still a function, but the inverse of c(x) + f(x) is not. the inverse form does not pass the vertical line test in desmos. so, not every sum of two one to one functions is also a one to one function.