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KatRina [158]
2 years ago
11

Given the function h of x equals three times the square root x plus 1 end root minus 2, which statement is true about h(x)?

Mathematics
1 answer:
topjm [15]2 years ago
8 0

A function assigns the values. The correct option is D.

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

A function assigns the value of each element of one set to the other specific element of another set.

The given function h(x)=3(\sqrt{x+1})-2 when plotted on the graph will look as shown below. Therefore, the function is increasing on the interval (–1, ∞).

Hence, the correct option is D.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

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F(x) = 2x+6, g(x) = 3² findf(g (-3))​
Yanka [14]

Answer:

➩ f(g(-3)) = 24

Step-by-step explanation:

➨ Rearrange/Simplify the equations

F(x)=2x+6\\g(x)=9

➨ Find f(g(-3))

g(-3)=9 ➩ All x-values have same y-values ➩ Constant Function

Substitute g(-3) = 9 in the f(x)

f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24

Thus, the answer ➩ f(g(-3)) = 24

5 0
3 years ago
Read 2 more answers
ind the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.
vivado [14]

Answer:

1+√2, 1-√2

Step-by-step explanation:

Since there are 2 factors with an y in the expression, i will assume that there was a mistake in the question and in fact the first term was y³. With that change, we will have that

g(y) = y³-3y²-3y+9

In order to find the critical numbers of g we need to derivate it and equalize the derivate to 0. We can easily derivate g since it is a polynomial:

g'(y) = 3y² - 6y-3

Since g'(y) is a quadratic function, we can obtain the zeros using the quadratic formula, where a = 3, b = -6 and c = -3:

r_1 , r_2 = \frac{6 \, ^+_- \, \sqrt{(-6)^2 - 4 * 3 * (-3)} }{2 * 3} = \frac{6 \, ^+_- \, \sqrt{72}}{6} = 1 \, ^+_- \, \sqrt{2}

Thus

r_1 = 1 + \sqrt 2\\r_2 = 1- \sqrt 2

Therefore, the critical numbers of g are 1+√2 and 1-√2.

I beleive that the problem just ask for that. If you want the critical values, then we need to evaluate those numbers in g. i will do it just in case

g(1 + √2) = (1+√2)³ - 3(1+√2) - 3(1+√2) + 9 = -1.65685

g(1- √2) = (1-√2)³ - 3(1-√2)² -3(1-√2)+9 = 9.6566

5 0
3 years ago
Carly wants to buy some fish to keep in her room. At a local pet store customers can pay
77julia77 [94]

Answer:

12.50

Step-by-step explanation:

Im not completely sure on this but the answer is 12.50 because it states that the price for a fish tank is $12.50. So im pretty sure that the intercept is that.

7 0
4 years ago
You are deciding on two different designs for envelopes.
zmey [24]
You would be able to make 90 more envelopes
4 0
4 years ago
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PLEASE HELP ME!!! Will mark brainliest
fenix001 [56]
C is 89 but I haven’t figured out the rest yet sorry
8 0
4 years ago
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