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Zepler [3.9K]
3 years ago
10

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1).

Mathematics
1 answer:
anastassius [24]3 years ago
5 0

Answer:

\large\boxed{(h\circ g)(1)=8}

Step-by-step explanation:

(f\circ g)(x)=f\bigg(g(x)\bigg)\\===================\\\\(h\circ g)(1)=h\bigg(g(1)\bigg)\\\\g(1)-\text{put}\ x=1\ \text{to the equation of the function}\ g(x)=2x:\\\\g(1)=2(1)=2\\\\h\bigg(g(1)\bigg)=h(2)-\text{put}\ x=2\ \text{to the equation of the function}\ h(x)=x^2+4:\\\\h(2)=2^2+4=4+4=8

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[02.03]
SVEN [57.7K]

Answer:

2)  Equation 1 and Equation 2 have the same number of solutions.

Step-by-step explanation:

The two given equations are

1)  15x + 6 = 41                and                   2) 2x + 13 = 28

Solving both equations, we get

Solving (1) :   15x + 6 = 41 ⇒   15x  = 41 -  6 = 35

or, x = 35/15 ⇒ x = 7/3

Solving (2) :   2x + 13 = 28⇒   2x  = 28 -  13  = 15

or, x = 15/2 ⇒ x = 15/2

So, from above solutions we can say that Equation 1 and Equation 2 have the same number of UNIQUE solution.

6 0
3 years ago
2(x-3)-12 = -4<br> How do I solve this equations
deff fn [24]

Answer:

x= 7

Step-by-step explanation:

1st step: Multiply the factor (outside number) with the numbers and variable(s) in the box. This results in 2(x-3) = 2x-6

2nd Step: continue the rest of the equation since there are no more brackets left so 2x-6-12=-4

3rd Step: send -12 to the other side of the equation (side changes sign changes) so it will become 2x-6=-4+12    (You are actually supposed to make the variable alone on one side of the equation so that you would be able to calculate its value)

4th step: 2x-6=8 ---> send -6 to the other side as well which will then result in 2x=14

5th step: since 2 is being multiplied by x, when you send it to the other side (to make x alone) you will divide 14 by 2 ( sign of 2 changes from multiplication to division)

Final Step: x=7

3 0
3 years ago
What is the center of this circle? <br> What is the radius of this circle?
zimovet [89]

Answer:

The center of a circle is the point from which the circumference is equidistant

Step-by-step explanation:

Radius of a circle is a line drawn from the center of the circle to the circumference.

4 0
3 years ago
7=-5/2 x + b<br>what is the value of b and please explain.​
Talja [164]

Answer:

b = 5/2x + 7

Step-by-step explanation:

b + (-5/2x) = 7

b - 5/2x = 7

b = 5/2x + 7

3 0
2 years ago
A cooking show currently has about 223,00 regular viewers. The number of regular viewers has been decreasing at a rate of 4.7% p
Mazyrski [523]
The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
 Pf = Po×(1-b) ^ t
 Where:
 Pf = final population
 Po = initial population
 b = decrease rate
 t = timpo in years
 So:
 Pf = 223.00×(1-0.047) ^ 6
 Pf = 167,056
 The answer is the last option.
5 0
3 years ago
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