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Sonbull [250]
3 years ago
15

Let g(x)= -3x and h(x) x^2+3 Find (g°h)(0)

Mathematics
1 answer:
raketka [301]3 years ago
7 0
<h3>Answer is   -9</h3>

=================================

Work Shown:

(g°h)(x) is the same as g(h(x))

So, (g°h)(0) = g(h(0))

Effectively h(x) is the input to g(x). Let's first find h(0)

h(x) = x^2+3

h(0) = 0^2+3

h(0) = 3

So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.

Now let's find g(3)

g(x) = -3x

g(3) = -3*3

g(3) = -9

-------

alternatively, you can plug h(x) algebraically into the g(x) function

g(x) = -3x

g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)

g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3

g( h(x) ) = -3x^2 - 9

Next we can plug in x = 0

g( h(0) )  = -3(0)^2 - 9

g( h(0) ) = -9

we get the same result.

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What is the probability that a randomly selected date in the year 2021 is not in the month of October or
myrzilka [38]

Answer:

0.833

Step-by-step explanation:

There are 365 days in 2021

There are 31 days in October

There are 30 days in November

(365-61)/365 = 0.833

5 0
3 years ago
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t
inn [45]
ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

f'(c) = \frac{f(7) - f(1)}{7 - 1}

f'(x) = \frac{1}{x}

This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

\frac{1}{c} = \frac{ ln(7)}{6}

c = \frac{6}{ ln(7) }

c\approx 3.08

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
7 0
3 years ago
5x² + 3y when x =-2 and y = 10​
Vera_Pavlovna [14]

Answer:

50

Step-by-step explanation:

When a number is next to a variable, such as 5x, this means you will multiply them(five times x). With x being -2, we will multiply -2 x -2 = 4. the exponent tells you how many times to multiply a number by itself. If the exponent was 5, we would multiply 2 by itself 5 times to get 10. Since we got 4 for our answer, we will multiply that by since it was an exponent and we multiply it. 4 x 5 = 20. Since we know that we multiply numbers next to variables, we will multiply 3y or 3(10). 3 x 10 = 30. Add this to 20 to get your answer. 20 + 30 = 50.

Hope this helps :)

6 0
3 years ago
. Describe a way you can use graham crackers to demonstrate the division problem . Include the result in your description.
Digiron [165]

Answer:

You can split your cracker 4 ways. So each cracker is  now 4. Now split your cracker into 4ths, 5•4 = 20! Hope this helps!

Step-by-step explanation:

Your Crackers have those lines, and they split 4 ways. SO this helps make the problem easierto solve.


6 0
3 years ago
Dorothy types 120 words a minute. how many does Dorothy type in 1.75 minutes?
vekshin1
Dorothy can type 120 words per minute. Which can also be represented by
120 x 1 (minute)= 120

If you want to know how many words it takes her for 1.75 minutes, simply multiply 120 by 1.75.
120 x 1.75 (minutes)=210
Answer: 210 words
6 0
3 years ago
Read 2 more answers
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