Chapter 1.3, Problem 54E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Use the given graphs of *f* and *g* to estimate the value of *f*(*g*(*x*)) for *x* = − 5, − 4, − 3,. . . , 5. Use these estimates to sketch a rough graph of *f* ◦ *g.*

To determine

**To estimate:** The value of *f* and *g*; using these values sketch the graph of

Explanation

First find the value of

Note that at *g* takes the value of −0.2.

Similarly, from the graph *g*, the values of

x | |

−5 | −0.2 |

−4 | 1.2 |

−3 | 2.2 |

−2 | 2.8 |

−1 | 3 |

0 | 2.8 |

1 | 2.2 |

2 | 1.2 |

3 | −0.2 |

4 | −1.9 |

5 | −4.1 |

Table 1

Note that at *f* takes the value of −4.

Similarly, from the graph *f*, the values of

x | ||

−5 | −0 |

Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11E

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