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Mathematics : asked on willia343
 15.02.2020

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5, and h(x)=2x^2−4, find each of the following. Solve each of the problems showing work. f(g(x))
h(g(x))
(h−f)(x)
(f+g)(x)

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Step-by-step answer

09.07.2023, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
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given functions:

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

solving steps:

(a)

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

(b)

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

(c)

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

(d)

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5,, №18010534, 15.02.2020 22:47

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Faq

Mathematics
Help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5, and h(x)=2x^2−4, find each of the following. Solve each of the problems showing work. f(g(x)) h(g(x)) (h−f)(x) (f+g)(x)
Step-by-step answer
P Answered by Master
check below!

given functions:

\sf f(x)=x^2+3x-7

\sf g(x)=3x+5

\sf h(x)=2x^2-4

solving steps:

(a)

\sf f(g(x))

\sf \sf f(3x+5)

\sf (3x+5)^2 + 3(3x+5)-7

\sf 9x^2+30x+25+9x+15-7

\sf 9x^2+39x+33

(b)

\sf h(g(x))

\sf h(3x+5)

\sf 2(3x+5)^2-4

\sf 18x^2+60x+50-4

\sf 18x^2+60x+46

(c)

\sf (h-f)(x)

\sf 2x^2-4-(x^2+3x-7)

\sf 2x^2-4-x^2-3x+7

\sf x^2-3x+3

(d)

\sf (f+g)(x)

\sf x^2 + 3x -7 +3x+5

\sf x^2+6x-2

Mathematics
Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?
Step-by-step answer
P Answered by PhD

The total nom of  code that can be used is equal to 5+3 = 8

Mathematics
In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Use the X method to find the solutions of6x2 + 2x – 20 = 0.
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

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