can anyone solve these questions in a paper ( handwriting please) 11. A = {2, 4,

Question

can anyone solve these questions in a paper ( handwriting please)

11.   A = {2, 4, 6, 8} B = {4, 5, 7}
F(x) = { (2,5), (6, 5), (8, 7), (4, 7)} Use an arrow diagram to decide the following:
a.   Is F(x) a function? Why or why not?

b.   If it is a function, is it one-to-one? Why or why not?

c.   If it is a function, is it onto? Why or why not?

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12.   A = {2, 4, 6, 8} B = {4, 5, 7}
F(x) = { (2,7), (6, 7), (8, 7), (4, 7)} Use an arrow diagram to decide the following:
a.   Is F(x) a function? Why or why not?

b.   If it is a function, is it one-to-one? Why or why not?

c.   If it is a function, is it onto? Why or why not?

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13.   F (x) = 3x + 7 G(x) = 5x2   

Find F ( G(x) ) =

Find G (F (x) ) =

Explanation / Answer

13)   F (x) = 3x + 7 G(x) = 5x^2

F ( G(x) ) = 3 * (5x^2) + 7.....(Put G(x) in F(x))

F ( G(x) ) = 75x^2 + 7

G (F (x) ) = 5 * (3x + 7)^2

G (F (x) ) = 5 * (9x^2 + 49 + 42x)

G (F (x) ) = 45x^2 + 245 + 210x

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