Question

Given the graph of g(x), describe the transformation of the parent function

Answer 1

Answer:

The table is attached in the figure.

   g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x

∴  g'(x) = \frac{d}{dx} [f(x)] * \frac{d}{dx} [4x]=4*f'(x) ⇒⇒⇒⇒⇒⇒ chain role

To find g '(0.1)

Substitute with x = 0.1

from table:  

f'(0.1) = 1 ⇒ from the table

∴  g'(0.1) = 4 * [ f'(0.1) ]  = 4 * 1 = 4

Step-by-step explanation: