I've attached a photo of the solution below. Hope it helps!
The equation of g(x) is 
Explanation:
Given that the function f(x) is 
Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.
We need to determine the equation of g(x)
<u>Equation of g(x):</u>
The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).
Thus, we have,
Substituting the values,we have,
Simplifying the values, we get,
Hence, the equation of g(x) is
Answer:
Explanation:
The figure labeled A cannot be because the cross and the line are not oriented in the same relative position as in X.
The figure labeled B cannot be because the line and the the image with the three lines are not oriented in the same relative position as in X.
You cannot tell about the figures labeled C because you do not see the images of the cross and the line.
The figure labeled E cannot be because the image with the three lines is not oriented in the same relative positiion with respect to the other two as in X.
You cannot tell about the figure labeled F because the image of the cross and with the three lines are not shown.
The figure labeled G is correct: you can just rotate the cube labeled X 90 degrees counterclockwise about a vertical axis that passes through the center of the cube and get the cube labeled G.
Answer:
B. 4 squared
Step-by-step explanation:
You have to use PEMDAS. The first one is P for parenthesis, that is the first operation you have to do.
Answer:
18x² + 5
Step-by-step explanation:
To evaluate f(g(x)), substitute x = g(x) into f(x)
f(g(x))
= f(6x²)
= 3(6x²) + 5
= 18x² + 5
