Let f(x) = 22 + 2x + 1, h(x) = 102 + 5x and g(x) =5x. Find:
6.(f °g )(x) 7. (g ° f )(x) 8. (g ° f )(-1) 9. (h/ g)(x) 10. (g/ h)(x) PA HELP PO PLSS
6.(f °g )(x) 7. (g ° f )(x) 8. (g ° f )(-1) 9. (h/ g)(x) 10. (g/ h)(x) PA HELP PO PLSS
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Answer:
6. (f ° g )(x) = 22 + 2(5x) + 1
(f ° g )(x) = 22 + 10x + 1
(f ° g )(x) = 10x + 23
7. (g ° f )(x) = 5(22 + 2x + 1)
(g ° f )(x) = 110 + 10x + 5
(g ° f )(x) = 10x + 115
8. (g ° f )(-1) = 5[22 + 2(-1) + 1]
(g ° f )(-1) = 5(22 - 2 + 1)
(g ° f )(-1) = 5(21)
(g ° f )(-1) = 105
9. (h/g)(x) = (102 + 5x)/5x
(h/g)(x) = 102/5x + 1
10. (g/h)(x) = 5x/(102 + 5x)