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# MATH113_COMPOSITE

### Schoolcraft College Math 113 Composite Functions Flash Cards

Question | Answer |
---|---|

For f(x) = 2x + 3 and g(x) = x² + 1, find: a – (f ˚g)(x) b – (g ˚f)(x). c – (f+g)(x) d – (f-g)(x) e – (f*g)(x) f – (f/g)(x) | a – 2x² + 5 b – 4x² + 12x + 12 c – x² + 2x + 4 d – -x² + 2x + 2 e – 2x³ +3x² +2x +3 f – (2x + 3)/(x² + 1) |

For f(x) = x² – 4x + 2 and g(x) = 3x – 7, find: a – (f ˚g)(x) b – (g ˚f)(x). c – (f+g)(x) d – (f-g)(x) e – (f*g)(x) f – (f/g)(x) | a – 9x² - 54x +79 b – 3x² - 13 c – x² - x - 5 d – x² -7x + 9 e – 3x³ -19x² + 34x - 14 f – (x² – 4x + 2)/( 3x – 7 |

For f(x) = –6x + 5 and g(x) = –9x – 11, find: a – (f ˚g)(x) b – (g ˚f)(x). c – (f+g)(x) d – (f-g)(x) e – (f*g)(x) f – (f/g)(x) | a – 54x + 71 b – 54x - 56 c – -15x - 5 d – 3x + 16 e – 54x² + 21x - 55 f – (6x - 5)/(9x + 11) |

For f(x) = 2x - 4, find: a - f(4) b - f(5) c - f(6) | a - 4 b - 6 c - 8 |

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