Need ! which of the following is true for the relation f(x) = 5x + 1? a- both the equation and its inverse are functions. b- only the inverse is a function. c- only the equation is a function. d- neither the equation nor its inverse is a function.

Both the equation and its inverse are functions. A f(x) is a function if no value of x gives two values f(x) We'll call the inverse of f(x) g(x). The inverse of a function f(x) is found by letting f(x)=y and switching the place of x and y. f(x)=y=5x+1 switching x and y results in x=5y+1 x-1=5y x/5-1/5=y g(x)=x/5-1/5 Both f(x) and g(x) are linear functions and I have given them in the form y=mx+b. As long as m is finite, y=mx+b is a function. m is defined for both f(x) and it's inverse g(x).