Please answer both questions and show work, thanks. Use the information in the table to find h'(a) at the given value of a.h(x) = g(f(x)); a = 0h'(a) =x f(x) f'(x) g(x) g'(x)012331526-3LO5-20213302-1 Consider the function y = f(x).f(x) = 8x - 1, x = -3df(a) Find at x = -3.dxdfdx=3(b) Find x = f¯¹(y).f-¹(y) =(c) Use part (b) to finddf-1dy=Xdf-1dyat y = f(-3).

According to Bartleby's guide-line we only do first part of multiple part questions.Given,…

Answered: Use the information in the table to…

Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a) = X 0 1 2 3 f(x) || f'(x) | g(x)| g'(x) 3 1 LO 5 2 6 -3 5 -2 0 2 1 3 3 0 2 -1

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Please answer both questions and show work, thanks.

Use the information in the table to find h'(a) at the given value of a.
h(x) = g(f(x)); a = 0
h'(a) =
x f(x) f'(x) g(x) g'(x)
0
1
2
3
3
1
5
2
6
-3
LO
5
-2
0
2
1
3
3
0
2
-1

Consider the function y = f(x).
f(x) = 8x - 1, x = -3
df
(a) Find at x = -3.
dx
df
dx
=
3
(b) Find x = f¯¹(y).
f-¹(y) =
(c) Use part (b) to find
df-1
dy
=
X
df-1
dy
at y = f(-3).

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