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Inessa05 [86]
3 years ago
6

Write the equation of the function g(x) if g(x) = f(x+2) +4 and f(x) = x^3 -7

Mathematics
1 answer:
omeli [17]3 years ago
4 0
F(x) = x³ - 7
f(x + 2) = (x + 2)³ - 7
f(x + 2) = (x + 2)(x + 2)(x + 2) - 7
f(x + 2) = (x(x + 2) + 2(x + 2))(x + 2) - 7
f(x + 2) = (x(x) + x(2) + 2(x) + 2(2))(x + 2) - 7
f(x + 2) = (x² + 2x + 2x + 4)(x + 2) - 7
f(x + 2) = (x² + 4x + 4)(x + 2) - 7
f(x + 2) = (x²(x + 2) + 4x(x + 2) + 4(x + 2)) - 7
f(x + 2) = (x²(x) + x²(2) + 4x(x) + 4x(2) + 4(x) + 4(2)) - 7
f(x + 2) = (x³ + 2x² + 4x² + 8x + 4x + 8) - 7
f(x + 2) = (x³ + 6x² + 12x + 8) - 7
f(x + 2) = x³ + 6x² + 12x + 8 - 7
f(x + 2) = x³ + 6x² + 12x + 1

g(x) = f(x + 2) + 4
g(x) = (x³ + 6x² + 12x + 1) + 4
g(x) = x³ + 6x² + 12x + 1 + 4
g(x) = x³ + 6x² + 12x + 5
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2 years ago
How much fencing would you need to fence in a rectangular storage that measures 40 feet x 20 feet?​
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Answer:

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3 0
3 years ago
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8 0
3 years ago
James tosses a coin 40 times and gets 26 heads and 14 tails. What is the relative frequency of tails? Plz show your work and exp
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8 0
3 years ago
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The manager at a movie theater keeps track of the number of evening tickets and matinee tickets sold each day and the total mone
azamat
Given:
63 tickets were sold.
Money collected = $742.
Evening tickets cost $14 each.
Matinee tickets cost $10 each.

Let
x = number of evening tickets sold
y = number of matinee tickets sold

Then
 x + y = 63                (1)
14x + 10y = 742       (2)

From (1), obtain
y = 63 - x                 (3)
Substitute (3) into (2).
14x + 10(63 - x) = 742
4x + 630 = 742
4x = 112
x = 28
y = 63 - 28 = 35

Answer:  28 evening and 35 matinee tickets were sold.
7 0
3 years ago
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