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posledela
3 years ago
7

Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

Answer:

(f\circ g)(x)=x^2+9x+20

Step-by-step explanation:

We have the two functions:

f(x)=x^2+5x+6\text{ and } g(x)=x+2

And we want to find:

(f\circ g)(x)

This is equivalent to:

(f\circ g)(x)=f(g(x))

Therefore, we will have:

f(x+2)

By substitution:

f(x+2)=(x+2)^2+5(x+2)+6

Simplify. Square and distribute:

f(x+2)=(x^2+4x+4)+(5x+10)+6

Rearrange:

f(x+2)=(x^2)+(4x+5x)+(4+10+6)

Combine like terms:

f(x+2)=(f\circ g)(x)=x^2+9x+20

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What is the apr for a $585 tablet with 12 payments of $50.81
JulsSmile [24]

Answer:

the answer is 4%

Step-by-step explanation:

585/12=48.75

50.81-48.74=2.06

now 2.06 that's the money from interest rate

so now 2.06/50.81=0.04

so the answer is 4%

3 0
3 years ago
A x 4 = E
lana [24]
A * 4 = E........A = E / 4
B / 4 = E........B = 4E
C + 4 = E......C = E - 4
D - 4 = E.......D = E + 4

A + B + C + D = 100
(E/4) + (4E) + (E - 4) + (E + 4) = 100
E/4 + 6E = 100 ....multiply by 4
E + 24E = 400
25E = 400
E = 400/25
E = 16 <===


7 0
3 years ago
What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box
hoa [83]

Answer: w<4

Step-by-step explanation:

4 0
3 years ago
Will give brainliest to correct answer !
jarptica [38.1K]

lmk if you're looking for point slope form but it's y =  2/5x - 3

7 0
2 years ago
Write regular expressions for the following languages:a. The set of strings over alphabet {a, b, c} with at least one a and at l
dezoksy [38]

Answer and Step-by-step explanation:

a. The strings  {a, b, c} with at least one a and at least one b.

Solution: ∑ = {a, b, c}

where

(a +b +c)(a (a +b +c)*b + b (a +b +c) a (a +b +c)*

b. The set of 0’s and 1’s string whose tenth symbol from the right end is 1.

Sol: (0+1)*1(0+1)9

c. The set of  0’s and 1’s string with at most one pair of consecutive 1’s.

sol: (0+10)(11+∑)(0+10)

8 0
3 years ago
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