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# Composite functions

### Algebra

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

What is Composite Function? | Composite Function is one in which the output of one function becomes the input for another. |

Find (f+g) (x) | (f+g)(x) = f(x) + g(x) Example f(x) = x+1 , g(x) = 2-3x (f+g)(x) = f(x) + g(x) = (x+1)+(2-3x) = -2x +3 |

Find (f-g)(x) | (f-g)(x) = f(x)-g(x) Example f(x) = x+1 , g(x) = 2-3x (f-g)(x) = f(x)-g(x) = (x+1)-(2-3x) = x+1-2+3x = 4x -1 |

Find (f.g)(x) | (f.g)(x) = f(x) . g(x) Example f(x) = x+1 , g(x) = 2-3x (f.g)(x) = f(x) . g(x) = (x-1).(2-3x) = 2x -3x^2 -2+3x = -3x^2 +5x -2 |

Find (f/g) (x) | (f/g)(x) =f(x)/g(x) Example f(x) = x+1 , g(x) = 2-3x (f/g)(x)= f(x)/g(x) = x+1/2-3x |

Find (f o g)(x | (f o g)(x) = f(g(x)) Example f(x) = x+1 , g(x) = 2-3x (f o g)(x) = f(g(x)) = (2-3x) +1 = -3x+3 |

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ealassaad