Answered: A function f is given by…

A function f is given by f(x)=1/((x+2)2). This function takes a number x, adds 2, squares the result, and takes the reciprocal of that result. Find f(3), f(0), f(a), f(x+h), and (f(x+h)−f(x))/h.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.9: Combining Functions

Problem 51HP

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Question

A function f is given by f(x)=1/((x+2)²). This function takes a number x, adds 2,
squares the result, and takes the reciprocal of that result. Find f(3), f(0), f(a), f(x+h), and

(f(x+h)−f(x))/h.

Expert Solution