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Igoryamba
2 years ago
9

Given the following functions f(x) and g(x), solve f[g(10)]. F(x) = 10x 8 g(x) = x 9 2,052 98 190 198.

Mathematics
1 answer:
gladu [14]2 years ago
6 0

For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.

put g(x) in place of x in the function f(x). Then we have

f [g(x)] = 10(x + 9) + 8

f [g(x)] = 10x + 90 + 8

f [g(x)] = 10x + 98

Put x = 10, then we have

f [g(10)] = 10(10) + 98

f [g(10)] = 100 + 98

f [g(10)] = 198

Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

More about the function link is given below.

brainly.com/question/5245372

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The LCM of 4, 9, and 10 is _______.<br><br> 36<br><br> 180<br><br> 40<br><br> 90
Anna [14]

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, <em><u>180</u></em>, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, <em><u>180</u></em>, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, <em><u>180</u></em>, 190, 200

Stay safe and Merry Christmas! :)

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Write the prime factorization of each number 6760​
sergey [27]

Answer: 2, 2, 2, 5, 13, 13.

Step-by-step explanation:

Here is the math in order to find the prime factorization

6760 ÷ 2 = 3380

3380 ÷ 2 = 1690

1690 ÷ 2 = 845

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8 0
2 years ago
Which of the following are solutions to the equation below?
scoundrel [369]

Answer:

The correct options for the solution values are:

  • x=2\sqrt{2}-5
  • x=-2\sqrt{2}-5

Step-by-step explanation:

Given the expression

x^2+10x+25=8

Subtract 25 from both sides

x^2+10x+25-25=8-25

Simplify

x^2+10x=-17

Add 25 or 5² to both sides

x^2+10x+5^2=8

as

x^2+10x+5^2=\left(x+5\right)^2

so the expression becomes

\left(x+5\right)^2=8

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x+5=\sqrt{8}

Subtract 5 from both sides

x+5-5=2\sqrt{2}-5

x=2\sqrt{2}-5

solve

x+5=-\sqrt{8}

Subtract 5 from both sides

x+5-5=-2\sqrt{2}-5

x=-2\sqrt{2}-5

Therefore, the solution to the equation

x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5

Hence, the correct options for the solution values are:

  • x=2\sqrt{2}-5
  • x=-2\sqrt{2}-5

6 0
3 years ago
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