Given the function, f(x) = 4 3/2x-1 a) Why is this function invertible? b) Give an...

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Given the function, f(x) = 4 3/2x-1 a) Why is this function invertible? b) Give an example of a function that is not invertible on its natural domain. c) Find the equation of the inverse function, f-1(x). Do NOT graph the function or its inverse. d) Verify that the following functions are inverses: g(x)=3-2x+1 and g(x) = ( ) 1 2 Clearly lay out your proofs, showing each step in the algebraic process. Given the function, f(x) = 4 3/2x-1 a) Why is this function invertible? b) Give an example of a function that is not invertible on its natural domain. c) Find the equation of the inverse function, f-1(x). Do NOT graph the function or its inverse. d) Verify that the following functions are inverses: g(x)=3-2x+1 and g(x) = ( ) 1 2 Clearly lay out your proofs, showing each step in the algebraic process.