5. 3 7 h(x) 7 22 h'(x) 10 Selected values of the increasing function h and its derivative h’ are shown in the table above. If g is a differentiable function such that h(g(x)) = x for all x, what is the value of g’(7) ? 1 1 (В) 10 (C) 3 (A) (D) 10

5. 3 7 h(x) 7 22 h'(x) 10 Selected values of the increasing function h and its derivative h’ are shown in the table above. If g is a differentiable function such that h(g(x)) = x for all x, what is the value of g’(7) ? 1 1 (В) 10 (C) 3 (A) (D) 10

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

5.
3
7
h(x)
7
22
h'(x)
5
10
Selected values of the increasing function h and its derivative h' are shown in the table above. If g is a
differentiable function such that h(8(x)):
= x for all x, what is the value of g'(7) ?
1
(B)
10
7
(D)
(A)
(C)
10

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