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# Composite Functions

### The Algebra of Functions; Composite Functions

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

Given the fuctions: f(x)=2x+3 g(x)=x^2 Find (g o f)(x)=g(f(x)) | 4x^2+12x+9 |

If f(x)=2x+3, find (f o f)(x) | 4x+9 |

Given the functions: f(x)=x+2 g(x)=x^2 Find (g o f)(3)=g(f(3)) | 25 |

Given the functions: f(x)=5x g(x)=x^2+1 Find (f o g)(x)=f(g(x)) | 5x^2+5 |

Given the functions: f(x)=5x g(x)=x^2+1 Find (g o f)(x)=g(f(x)) | 25x^2+1 |

Given the functions: f(x)=x+2 g(x)=x^2 Find (g o f)(x) = g(f(x)) | x^2+4x+4 |

Given the functions: f(x)=x^2+x g(x)=4-x Find (f o g)(x)=f(g(x)) | x^2-9x+20 |

Given the functions: f(x)=x^2+x g(x)=4-x Find (g o f)(x)=g(f(x)) | -x^2-x+4 |

Given the functions: f(x)=x^2+x g(x)=4-x Find (g o f)(3)=g(f(3)) | -8 |

Given the functions: f(x)=2x+3(g(x)) g(x)=4x-1 h(t)=t^3+3t^2-5(g(t)) Find (f o g)(2)=f(g(2)) | 95 |

Created by:
jordanecarnahan