show all steps please 5. Functions f:R R: 9: R R are both one to one...

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Question

5. Functions f:R R: 9: R R are both one to one on the set of real numbers. Is the function f +9 also one to one? [Hint: Be cr

show all steps please

Answer 1

Answer #1

Consider the function f(x) = x and g(x) = -x. Here both f and g are one to one function. But there Sum, (f+g)(x) = 0.

Clearly there Sum is a constant function which can't be one to one. Hence the statement given above is false.

Answer 2

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