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
Answer:
A (1×10)+(4×1)+(7×1/10)+(2×1/1,000)
Step-by-step explanation:
In the expanded form, the number is shown as a sum in which each digit is multiplied by its place value.
The decimal fraction digits are in the tenths place (1/10) and the thousandths place (1/1000).
(1×10)+(4×1)+(7×1/10)+(2×1/1,000)
Answer:
70 pi cm
219.80 cm
219.9114858 cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi*d
C = pi * 70cm
Using 3.14 for pi
C = 219.80cm
Using the pi button
219.9114858cm
The domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
A carpet installer charges a flat rate of $40 and $1.50 per square foot for labor.
So the total cost for the labor depends on the amount of carpet installed, the relationship between the total cost for labor and the amount of corporate installed.
Then the domain of the relation is the range of the relation will be
Let y be the total amount and x be the number of square foot.
y = 1.5x + 40
Then the domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).
The graph is given below.
More about the domain and range link is given below.
brainly.com/question/12208715
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