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4vir4ik [10]
3 years ago
12

F(x) =x^2-4x+2 and g(x) =3x-7 find (fog)(x)​

Mathematics
2 answers:
fgiga [73]3 years ago
7 0

Answer:

9x² - 54x + 79

Step-by-step explanation:

To find (f ○ g)(x) substitute x = g(x) into f(x), that is

f(g(x))

= f(3x - 7)

= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL

= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms

= 9x² - 54x + 79

sergejj [24]3 years ago
3 0

Answer:

Step-by-step explanation:

hello :

F(x) =x²-4x+2 and g(x) =3x-7

(fog)(x)​=f(g(x))=f(3x-7) = (3x-7)²-4(3x-7)+2

(fog)(x)​= 9x²-42x+49-12x+28+2

in standard form : (fog)(x)​= 9x²-54x+79

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Answer:

Step-by-step explanation:

Simply put, it is similar to finding the area of a circle.

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6 0
2 years ago
Write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
RUDIKE [14]

Answer:

-5n + 8

Step-by-step explanation:

<u>1. What is the difference?</u>

  The sequence goes down by 5. This means that the formula will have -5n in it.

<u>2. Work out the term before the first term.</u>

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

<u>3. Put that term at the end of the equation. </u>

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

<em>Substitute:   n = term</em>

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

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See, it works!

8 0
3 years ago
What is 787.526 rounded to the nearest tenths A; 787.6 B; 787.0 C; 787.5
sasho [114]

Answer:

I believe it's <em>C</em>

Step-by-step explanation:

4 or less let it rest 5 or more go next door I think is how it goes lol

forgot to explain: 6 is more than 5 so we add one to the next place. that makes 2 + 1 which is 3 and 3 is less than 4 so we don't add to the next place.

7 0
3 years ago
Read 2 more answers
(01.04 MC)Simplify the following expression: (−1)(−7)(4)
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-4

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4 0
3 years ago
A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if
algol [13]

Answer:

Reject H0

Step-by-step explanation:

Z  = -2.474873734

 

survey (positive) 26

n (total) 200

p 0.2

 

p /point est. 0.13

POPULATION(min) 4000

np        >= 5 ? YES 40

n(1-p)  >= 5 ? YES 160

Sample is valid  

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(0.0686 , 0.1914 )  

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4 0
3 years ago
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