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8090 [49]
3 years ago
15

F(x)=

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

Answer:

(g\ o\ f)(x) = -10x^2 + 25x + 44

Step-by-step explanation:

Given

f(x) = 2x^2 - 5x - 8

g(x) = -5x+4

Required

Find:\ (g\ o\ f)(x)

In functions;

(g\ o\ f)(x) = g(f(x))

Substitute f(x) = 2x^2 - 5x - 8 in (g\ o\ f)(x) = g(f(x))

(g\ o\ f)(x) = g(f(2x^2 - 5x - 8))

Solving for g(f(2x^2 - 5x - 8))

If g(x) = -5x+4

then

g(f(2x^2 - 5x - 8)) = -5(2x^2 - 5x - 8) + 4

Open Bracket

g(f(2x^2 - 5x - 8)) = -10x^2 + 25x + 40 + 4

g(f(2x^2 - 5x - 8)) = -10x^2 + 25x + 44

Recall that:

(g\ o\ f)(x) = g(f(2x^2 - 5x - 8))

This implies that

(g\ o\ f)(x) = -10x^2 + 25x + 44

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3 years ago
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Ksivusya [100]

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3 years ago
Sandra needs to buy meters of chain for a home project. Which decimal number is equal to the fraction ?
meriva
The correct question is
<span>Sandra needs to buy 21/25 meters of chain for a home project. Which decimal number is equal to the fraction 21/25?

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21/25--------> multiply by (4/4)
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7 0
4 years ago
A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single
Goryan [66]

Answer:

#3) 72; #4) 40,320; #5) 90.

Step-by-step explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

6*12=72.

#4) The ordering of 8 cards is a permutation, given by 8!=40,320.

#5) This is a permutation of 10 objects taken 2 at a time:

P(10,2) = 10!/(10-2)!=10!/8!=90.

P.S I had the same question once.

7 0
3 years ago
7. The store at your school wants to stock T-shirts that come in five sizes (small, medium, large, XL, XXL) and in two colors (o
kenny6666 [7]

Answer:

a. 10

b. 0.1

Step-by-step explanation:

a. The t-shirts comes in 5 sizes (Small,medium,large, extra large and extra extra large) and two colors orange and black. The total different type of shirts are 5*2=10 different type of t-shirts.Also if we make sample space of all shirts we can assess the total different type of t-shirts. sample space=S={small orange,medium orange,large orange,XL orange,XXL orange,small black,medium black,large black,XL black,XXL black}. n(S)=total different type of shirts=10.

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3 0
3 years ago
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