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VARVARA [1.3K]
2 years ago
12

F(x)= 2-1/xg(x)= x/2what is f(g(x))?

Mathematics
1 answer:
kompoz [17]2 years ago
8 0
To find f(g(x)), plug g(x) into f(x) and simplify.

f(x/2) = 2 - 1/(x/2)

All you have to do is simplify the right side of the equation.

Take it from here.



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PLZZZZZ HELLLLPPPP I NEEEEDDDDDD AAASSSSAAAPPPP<br> reward if u an help me ;)
Igoryamba

Answer:

1. x= -56.25

Expand

19.5-6.5x+36=201-4.5x-33

Simplify

-6.5x+55.5=201-4.5x-33

Simplify again

6.5x+55.5=-4.5x+168

Add 6.5 to both sides

55.5=-4.5x+168+6.5x

Simplify

55.5=2x+168

Subtract

55.5-168=2x

Simplify

112.5=2x

Divide both sides by 2

−112.5÷2 = x

Simplfy

x = -56.25

2. x > -7 ÷ 4

Or

Decimal Form: -1.75

Remove parentheses

12x>4x+5−19

Simplify

12x>4x-14

Subtract

12x-4x>-14

Simplify

8x>-14

Divide both sides by 8

x > -14 ÷ 8

Simplify

x > -7 ÷ 4

Or

Decimal Form: -1.75

3. Answer: Step 2 has an error

Step-by-step explanation:

Given equation,

2(10 - 13x) = -34x + 60

By distributive property,

20 - 26x = -34x + 60

Now, we need to isolate x on the left side of the equation,

For this we need to eliminate constant term from the left side,

20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )

I.e. Step 2 has an error,

We need to use subtraction property of equality instead of using addition property of Equality,

Note : The correct steps would be,

Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )

Step 3 : 8x = 40  ( addition property of Equality )

Step 4 :  x = 5  (  Division Property of Equality )

Hope this helps!!! Good luck!!! ;)

8 0
3 years ago
What is 8y=48 what is the answer to the problem
valkas [14]

48 divided by 8 equals 6

so y = 6

7 0
2 years ago
Read 2 more answers
Uber charges a $5 pickup fee and $0.25 per mile. define variables and write an equation to model this situation.
Degger [83]

Answer:

See below

Step-by-step explanation:

<h3>Uber</h3>
  • $5 pickup fee
  • $0.25 per mile

<u>Equation</u>

  • y = 0.25x + 5

<u>Cost of 5 miles:</u>

  • y = 0.25(5) + 5 = $6.25
<h3>KC yellow Cab Co.</h3>
  • $1.75 pickup fee
  • $0.75 per mile

<u>Equation</u>

  • y = 0.75x + 1.75

<u>Cost of 5 miles:</u>

  • y = 0.75(5) + 1.75 = $5.5

Comparing the cost we see KC yellow Cab Co. is better value for a 5 mile ride.

8 0
3 years ago
Examine the system of equations.
stiks02 [169]

By substitution,

1.5x - 6 = -4.5x + 21

6x = 27

x = 4.5

Hence, y = 1.5(4.5) - 6 = 0.75

8 0
3 years ago
Read 2 more answers
2. Express each of the following as a rational number in the form of p/q<br> Where q≠0
ANTONII [103]

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

(\dfrac{3}{7})^2=\dfrac{9}{49}

(b) (7/9)³

(\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}

(c) (-2/3)⁴

(\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}

Hence, this is the required solution.

4 0
3 years ago
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