Question: Please provide solutions so I can explain it better to my child. Thank you 1. Functions True or False. .. For exercises (a)-(f), if the

Please provide solutions so I can explain it better to my child. Thank you

Please provide solutions so I can explain it better to my child.

1. Functions True or False. .. For exercises (a)-(f), if the statement is True, explain why. If False, explain why it is not true and/or give a counterexample. Note: a, b, c, d are constants, f,g are functions and x is the independent variable. (a) If a = b then f(a) = f(b). (b) If f(a) = f(b) then a = b. ( c) f(a + b) = f(a) + f ( b) . (d) f(g(2)) = g(f(x)). ( e) f(f (2) ) = (f(2)) 2. (f) If f (2) = ax + b and g(x) = cx + d are linear functions, then f (g(x) ) is a linear function. (g) The equations 3x + 4y = -2, y = -it - ?, and y + ? = -(x - 4) describe the same line

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