Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Compositions

### Composition of functions

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

If f(x)=x^2-8 and g(x)=3x find 1. (f+g)(x) | Simply plug in your f(x) which is: x^2-8 and do the same with your g(x). After plugging them both in simplify the answer. Answer: (f+g)(x) = x^2+3x-8 |

If f(x)=x-6 and g(x)=2x+7 find 1. (f-g)(x) | Just like the previous example you do the same exact thing but instead of adding the two functions you subtract them. Answer: (f-g)(x)=-x-13 |

If f(x)=x^2-8 and g (x)=3x find 1. (f * g)(x) | The steps are the same for this question but it requires ,multiplication. Answer: 3x^3-24x |

If f(x)=x-6 and g (x)=2x+7 find (f/g)(x) | By now it should be fairly simple, for this problem you plug in the functions. Answer: x-6/2x+7 |

If f(x)=x^2-8+3 and g (x)=-3x find the following composition. (f of g)(3) | (f of g)= 81+72 +3= 156 Answer:156 |

If g(x)=-9, h(x)=square root of x, find the composition. ( g of h)(0) | By substituting the functions the answer will be 0. Answer: 0 |

Find (f of g)(x) and (g of f)(x) f(x)= abs x, g(x)=8x-10 | Answer: (f of g)(x)= abs 8x-10 g(abs x)= 8 abs x -10 |

If f(x)= square root of x and g (x)=3x +7 find (f of g)(x) and (g of f) (x) | Answer: (f of g)(x)= square root 3x+7 (g of f)(x)= 3 square root x +7 |

If f(x)=6x, g(x)=square root of x and h(x)=x^2+10, write H(x)= square root of x^2+10 as composition using two of the given functions. | For this problem you would have to look at which function corresponds. Answer: H(x)=(g of h)(x) |

Let g(x)=x-10 find f(x) so that h(x)=(f of g)(x) h(x)=(x-10)^2 | Answer: f(x)=x^2 |

Refresh Question: If f(x)^2=x^2+10 and g(x)=6x, find a. (f+g)(x) b. (f-g)(x) c.(f*g)(x) d.(f/g)(x) | Answers: a. x^2+6x+10 b.x^2-6x+10 c. 6x^3+60x d. x^2+10/6x |

Created by:
1912054169079176