In this problem, you will follow the parts below to solve an inequality involving h(x) = x² - 45. X-15 First, factor h(x) into linear factors. Then use your factored form to answer the parts below. (a) Find the zeroes of the numerator. x = x = (smaller value) (larger value) (b) Find the zero of the denominator. Note: We could have also asked for the equation of the vertical asymptote. x = (c) Determine the sign of h(x) on each subinterval of the real number line where X1, X2, and X3 correspond to the three x values found in parts (a) and (b) ordered from smallest to largest. ---Select-- ÷ X1 ---Select-- ÷ X2 --Select--- = X3 ---Select--- = (d) Use the signs in part (c) to determine the solution for h(x) ≥0. Give your answer in interval notation.

In this problem, you will follow the parts below to solve an inequality involving h(x) = x² - 45. X-15 First, factor h(x) into linear factors. Then use your factored form to answer the parts below. (a) Find the zeroes of the numerator. x = x = (smaller value) (larger value) (b) Find the zero of the denominator. Note: We could have also asked for the equation of the vertical asymptote. x = (c) Determine the sign of h(x) on each subinterval of the real number line where X1, X2, and X3 correspond to the three x values found in parts (a) and (b) ordered from smallest to largest. ---Select-- ÷ X1 ---Select-- ÷ X2 --Select--- = X3 ---Select--- = (d) Use the signs in part (c) to determine the solution for h(x) ≥0. Give your answer in interval notation.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.3: Getting Information From The Graph Of A Function

Problem 6E: (a) To solve the equation 2x+1=x+4 graphically, we graph the functions f(x)= and g(x)= on the same...

See similar textbooks

Similar questions

Find the exact solution for 2x3=62x1. If there isno solution, write no solution.
Describe the steps needed to solve a quadratic inequality algebraically.
Solve and write any solution in interval notation: a. x2+2x40 b. x2+2x40
(a) To solve the equation 2x+1=x+4 graphically, we graph the functions f(x)= and g(x)= on the same set of axes and determine the values of x at which the graphs of f and g intersect Graph f and g below, and use the graphs to solve the equation. The solution is x= . (b) To solve the inequality 2x+1x+4 graphically. we graph the functions f(x)= and g(x)= on the same set of axes and find the values of x at which the graph of g is ___________(higher/lower) than the graph of f . From the graphs in part (a) we see that the solution of the inequality is the interval (_______, ________).