Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
Supposing the line graphed is y = 2x + 3, the equation of the different line is:
y = 4x + 3.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the equation is:
y = 2x + 3
Hence, the slope is 2 and the y-intercept is 3. For the new line, we want to:
- Double the slope, hence m = 4.
- Keep the same y-intercept, hence b = 3.
Then, the equation of the different line is:
y = 4x + 3.
You can learn more about the equation of a line at brainly.com/question/24685547
Answer:$637.00
Step-by-step explanation:
77%=490.49
100%=?
100×490.49÷77=637
Original price =$637.00
Answer:
y - 1 = -2(x + 1).
Step-by-step explanation:
The slope = (-3-1)/(1 - -1)
= -4 / 2
= -2.
In point slope form:
y - y1 = m(x - x1)
Using m = -2 and the point (-1, 1):
y - 1 = -2(x + 1).
Answer: 0.8333
Step-by-step explanation: