a. Let g(x) = 2x + 3 and h(x) = x 3 . Consider the composite function

Question:

a. Let g(x) = 2x + 3 and h(x) = x3. Consider the composite function f(x) = g(h(x)). Find f-1 directly and then express it in terms of g-1 and h-1.

b. Let g(x) = x2 + 1 and h(x) = √x. Consider the composite function f(x) = g(h(x)). Find f-1 directly and then express it in terms of g-1 and h-1.

c. Explain why if g and h are one-to-one, the inverse of f(x) = g(h(x)) exists.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Question Posted: