# Let f(x)=x^2 -1 and g(x)= x^2 - 2, for x has the domain of all real numbers

Anonymous
timer Asked: Dec 11th, 2017

Question description

7. Let f(x)=x^2 -1 and g(x)= x^2 - 2, for x has the domain of all real numbers

a. Show that (f ° g)(x)=x^4 - 4x^2 + 3.

b. How could I sketch the graph of (f ° g)(x), for 0 is < or equal to x < or equal to 2.25.

c. The equation (f ° g)(x)=k has exactly two solutions, for x < or equal to x < or equal to 2.25. Find the possible values of k.

## Tutor Answer

(Top Tutor) Studypool Tutor
School: University of Virginia
Studypool has helped 1,244,100 students
flag Report DMCA

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors