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3 years ago

F(x) = 3x – 2 and g(x) = x2 + 1, find (f + g)(x)

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

Option A: x^2 +3x-1 is the correct answer

Step-by-step explanation:

Given functions are:

$f(x) = x-2\\g(x) = x^2+1$

We have to find (f+g)(x), which is the addition of two given functions

So,

$(f+g)(x) = f(x) +g(x)\\= 3x-2 + (x^2+1)\\= 3x-2+x^2+1\\= x^2+3x-2+1\\=x^2+3x-1$

Hence,

Option A: x^2 +3x-1 is the correct answer

Keywords: Functions, addition

Learn more about functions at:

#LearnwithBrainly

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Divide. Give the quotient and remainder.<br> 33 - 8<br> :))))

Ilya [14]

Answer: 9 remainder 2

Explanation: 9 is the closest 6 can get to 56 without going over. Since 9•6=54, and 56-54=2 , 2 is the remainder.

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3 years ago

Read 2 more answers

The price of a fan is $15. This price is 27% lower than last week.

Goshia [24]

The price of fan was 20 Dollars 55 cents last week.

Step-by-step explanation:

Let,

The price last week = x

As the price is 27% lower than last week, therefore

(100%-27%) * Price last week = $15

73% * x = 15

Solving the percentage;

$\frac{73}{100}*x=15\\ Multiplying\ both\ sides\ by\ 100\\100*\frac{73x}{100} = 15*100\\73x=1500\\Dividing\ both\ sides\ by\ 73\\\frac{73x}{73} = \frac{1500}{73} \\x= 20.55$

The price of fan was 20 Dollars 55 cents last week.

Keywords: Percentage, multiplication.

Learn more about percentages at:

#LearnwithBrainly

5 0

3 years ago

What is rt5 x rt3<br> yeah do that plz

sergij07 [2.7K]

Answer:

3(2r+1)

Step-by-step explanation:

5r+1 is 6

Then you factor out 3 and get 3(2r+1)

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2 years ago

The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n

m_a_m_a [10]

Question:

The recursive function $f(0) = 1$ , $f(n) = f(n-1) + 2n$ represents the nth term of a sequence. Determine the explicit function

Answer:

$f(n) = n^2 + n+1$

Step-by-step explanation:

Given

$f(0) = 1$

$f(n) = f(n-1) + 2n$

Required

Write an explicit formula

Let n = 1

$f(1) = f(1-1) + 2*1$

$f(1) = f(0) + 2$

$f(1) = 1 + 2 = 3$

Let n = 2

$f(2) = f(2-1) + 2*2$

$f(2) = f(1) + 4$

$f(2) = 3 + 4 = 7$

Let n =3

$f(3)=f(3-1) + 2 * 3$

$f(3)=f(2) + 6$

$f(3)=7+ 6 = 13$

Let n = 4

$f(4) = f(4 - 1) + 2 * 4$

$f(4) = f(3) + 8$

$f(4) = 13+ 8 = 21$

So, we have:

$f(1) = 3= 1 + 2 * 1=1+0*1*2*1$

$f(2) = 7= 3 + 2 * 2=1+1*2+2*2$

$f(3) = 13= 7 + 2 * 3= 1+2*3+2*3$

$f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4$

Following the above pattern:

$f(n) = 1 + (n - 1) * n + 2 * n$

$f(n) = 1 + n(n - 1) + 2n$

Open bracket

$f(n) = 1 + n^2 - n + 2n$

$f(n) = 1 + n^2 + n$

$f(n) = n^2 + n+1$

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2 years ago

What is the value of y in the equation -2y + 6 = -12?

Anit [1.1K]

Answer:

-2y + 6 = -12

Step-by-step explanation:

well the answer is 9, y=9 :)

PLEASE MARK ME BRAINLIEST!!!

6 0

2 years ago