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kondaur [170]
2 years ago
14

F(x) = x2 + 1 f(f(x))

Mathematics
2 answers:
Ludmilka [50]2 years ago
8 0
<h3>Answer:    f( f(x) ) = x^4 + 2x^2 + 2</h3>

=============================================

Work Shown:

f(x) = x^2 + 1

f(x) = ( x )^2 + 1

f( f(x) ) = ( f(x) )^2 + 1 .. replace every x with f(x)

f( f(x) ) = ( x^2+1 )^2 + 1 .. plug in f(x) = x^2+1

f( f(x) ) = ( x^2+1 )( x^2+1 )+1

f( f(x) ) = y( x^2+1 )+1 .... let y = f(x) = x^2+1

f( f(x) ) = y*x^2+y+1 ... distribute

f( f(x) ) = x^2*( y ) + ( y ) + 1

f( f(x) ) = x^2*( x^2+1 ) + (x^2+1) + 1 .... plug in y = x^2+1

f( f(x) ) = x^4 + x^2 + x^2 + 1 + 1

f( f(x) ) = x^4 + 2x^2 + 2

--------------------------------------

Side note: f(f(x)) = (f \circ f)(x), the small circle indicates function composition. It's similar to f(g(x)) = (f \circ g)(x)

alisha [4.7K]2 years ago
3 0

Answer:

<em>This answer is for f(x) = 2x + 1:</em>

f( f(x) ) = 4x + 3

Step-by-step explanation:

If f(x) = 2x + 1, then f( f(x) ) is:

f(x) = 2x + 1

f( f(x) ) = 2( f(x) ) + 1

           = 2 (2x + 1) + 1

           = 4x + 2 + 1

f( f(x) ) = 4x + 3

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Goshia [24]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
(2 x 106) x (0.00009) = ?
RSB [31]

I think you meant to write

(2 × 10⁶) × 0.00009

First, convert 0.00009 to scientific notation:

0.00009 = 9 × 10 ⁻⁵

Then

(2 × 10⁶) × 0.00009 = (2 × 10⁶) × (9 × 10 ⁻⁵)

… = (2 × 9) × (10⁶ × 10 ⁻⁵)

… = 18 × 10¹

… = 1.8 × 10²

4 0
2 years ago
What is the sum or difference?
dlinn [17]
1. Ans: Option (B) -6x^4

Explanation:
Given: 2x^4 - 8x^4
Take the common out:
=> x^4(2 - 8)

Hence: => [tex]-6x^4[/tex] (Option B)

2. Ans: Option (D) -3y^5

Explanation:
Given: 6y^5 - 9y^5
Take the common term(s) out:
=> y^5(6-9)

Hence: => -3y^5 (Option D)

3. Ans: Option (B) 9x^2 - 12x + 6<span> quadratic trinomial 

Explanation:
</span>Given: 6 - 12x + 13x^2 - 4x^2

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> 
13x^2 - 4x^2 - 12x + 6
=> 9x^2 - 12x + 6 (Option B)

4. Ans: Option (C) 7.3x^2 + 0.8x + 1.3

Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

</span>Common guppies: 3.1x^2 +6.0x + 0.3<span>
Endler's guppies:   </span>4.2x^2 - 5.2x + 1.0
(add both)
-----------------------------------------------------------------
Total number:          7.3x^2 +0.8x + 1.3
-----------------------------------------------------------------
Hence the ans is Option(C) 7.3x^2 + 0.8x + 1.3

5. Ans: Option (D) 2x^2(133 - 18 \pi )

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = 266x^2

Now the area of the circular fountain:
Area of the Circular Fountain = \pi r^2
Since, r=6x
Therefore,
Area of the Circular Fountain = \pi (6x)^2 = 36 \pi x^2

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = 266x^2 - 36 \pi x^2
=> Final area of the Yard = 2x^2(133 - 18 \pi) (Option D)

6. Ans: Option (A) 56x^2

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = 60x^2

Now the area of the stadium:
Area of the stadium = 1x * 4x = 4x^2

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= 60x^2 - 4x^2
=> Final area of the lot = 56x^2 (Option A)

-i
4 0
3 years ago
Read 2 more answers
The glacier moves 5 centimeters in 8 days. How many days does it take the glacier to move 1 centimeter?
marshall27 [118]
1.6 days because 8/5 = 1.6
6 0
3 years ago
Express 0.035 metre into km​
azamat

Answer:

0.000035km

Step-by-step explanation:

1km =1000m \\ x = 0.035m

use \:  \: cross \:  \: multipication

0.035 \times 1 = 1000x \\ 0.035 = 1000x \\  \frac{0.035}{1000}  =  \frac{1000x}{1000}  \\ x = 0.000035km

6 0
3 years ago
Read 2 more answers
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