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labwork [276]
3 years ago
11

F(x) = x2 + 9, g(x) = *square root of* x + 8, find g(f(x))

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

  g(f(x)) = √(x^2 +17)

Step-by-step explanation:

For ...

  f(x) = x^2 +9

  g(x) = √(x +8)

The definition of g(f(x)) is ...

  g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)

  g(f(x)) = √(x^2 +17)

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Which of the following expressions cannot be written as a whole number?
Allisa [31]
9^0 its that answer because all the other number you can make a whole number.
6 0
3 years ago
Read 2 more answers
Please help. 50 points + brainliest
Korvikt [17]

Answer:

1. (a-c)\sqrt{x} + b\sqrt{y}

2. 9m + 2\sqrt{n}

3. 6a

4. (5a - 3b)\sqrt{5y}

Step-by-step explanation:

1. since a and c share the same squareroot x, you can combine these together.

2. First add like terms together. 4m - m + 6m = 9m. Then 5\sqrt{n} and -3\sqrt{n} combined equals 2\sqrt{n}

3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a

4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:

5a\sqrt{5y} - 3b\sqrt{5y}

We can combine the two like terms and get the final answer above.

please give thanks by clicking the heart :)

3 0
3 years ago
Word problem-in a movie script time traveler wanted to save his wife who died the same year. The couple was the dam age. However
drek231 [11]

Represent Age of Time Traveler =========> X

Solve:

x = 3(x - 20 )


Step 1: Simplify Both sides of equation:

x = 3(x - 20 )

x = (3) (x) + (3) ( - 20 ) (Distribute ):

x = 3x + - 60

x = 3x - 60


Step 2: Subtract 3x from both sides:

x - 3x = 3x - 60 - 3x

- 2x = - 60


Step 3: Divide both sides by -2:

- 2x / - 2 = - 60 / - 2

x = 30



Answer: Our Time Traveler is 30 years old.




Hope that helps : )




5 0
3 years ago
$5,000 is invested at 3% interest. How much money must be invested at 5% interest so that the total interest from the two invest
Nataly [62]
3% interest on 5,000 = 150

275 (the total amount wanted) - 150 (from initial investment)= 125

x (5%) =125
x (0.05)= 125
x/0.05)= 125/0.05
x=2500

you need to invest 2500 at 5% to get the additional 125

125 plus 150= 275


7 0
3 years ago
Read 2 more answers
What is the value of a? Blank units
Damm [24]

Answer:

289

a^2 x b^2 = c^2

a = 8 b= 15 c = s

64 + 225 = 289

square root 289 = 17

4 0
3 years ago
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