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777dan777 [17]
3 years ago
12

If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)). 23 47 82 90

Mathematics
1 answer:
NISA [10]3 years ago
4 0
Hi!

So, this is going to be a function composition problem.

How we solve this, is by solving the function g(x). The output value we receive from solving g(x), is then the value that we input into the function f(x). 

So if g(x) equals something like 2, then we will input 2 into the function f(x).

Let's go ahead and solve g(3).

g(3) = 3^2 + 1.

First, we must solve the exponent due to the order of operations.

g(3) = 9 + 1.

Now we simply add 9 and 1.

g(3) = 10.

Okay, so - g(3) is equal to 10. Now we will input this value into f(x)!

f(10) = 2(10) + 3.

Again, we must follow the order of operations - so we will multiply 2 and 10 first.

f(10) = 20 + 3.

Now we add 20 and 3.

f(10) = 23.

Our final answer for this composite function is 23!

Hopefully, this helps! =)
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At HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership
gayaneshka [121]

The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:

  • 17 x 83 = 1411
  • 24 x 81 = 1944
  • 31 x 79 = 2449
  • 38 x 77 = 2926
  • 66 x 69 = 4554
  • 73 x 67 = 4891
  • 80 x 65 = 5200
  • 94 x 61 = 5734
  • 101 x 59 = 5959
  • 122 x 53 = 6466
  • 129 x 51 = 6579
  • 150 x 45 = 6750
  • 157 x 43 = 6751
  • 164 x 41 = 6724

Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.

Learn more in brainly.com/question/11663530

4 0
2 years ago
Rewrite the expression ln(33^3)+ln(9^4) so that it includes the expressions ln(3) and 33 and 9 do not appear inside a natural lo
krok68 [10]

Answer:

In Section 6.1, we introduced the logarithmic functions as inverses of exponential functions and

discussed a few of their functional properties from that perspective. In this section, we explore

the algebraic properties of logarithms. Historically, these have played a huge role in the scientific

development of our society since, among other things, they were used to develop analog computing

devices called slide rules which enabled scientists and engineers to perform accurate calculations

leading to such things as space travel and the moon landing. As we shall see shortly, logs inherit

analogs of all of the properties of exponents you learned in Elementary and Intermediate Algebra.

We first extract two properties from Theorem 6.2 to remind us of the definition of a logarithm as

the inverse of an exponential function.

Step-by-step explanation:

Hope this helps

4 0
3 years ago
at a delicatessen, ham costs $2.49 per pound and swiss cheese costs $3.79 per pound. The customer has $9.50 to spend on 2 pounds
vichka [17]

The customer can purchase 1.19788 pounds of cheese (approximately 1.2 pounds).

<h3>How much cheese can she purchase?</h3>

We are given with the cost of ham is $2.49 per pound and

Cost of swiss cheese is $3.79 per pound.

So, the cost of 2 pounds of ham will be given as-

= 2× $2.49

= $4.98

Since, the customer has a total of  $9.50 to spend on 2 pounds of ham and some cheese,

∴ Let the number of pounds of cheese she can purchase be x.

Then the equation will be this:

2.49*2 + 3.79*x = 9.50

4.98 + 3.79x = 9.50

Subtracting 4.98 from each side we get-

4.98 -4.98 + 3.79x = 9.50-4.98

3.79x = 4.54

x  =\frac{4.54}{3.79}

x = 1.19788 pounds of cheese (approximately 1.2 pounds).

Hence, the customer can purchase 1.19788 pounds of cheese (approximately 1.2 pounds).

Learn more about purchase here,

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#SPJ10

4 0
1 year ago
Need help with this. The question is on this image, thanks!
Aleks [24]

Answer: y = 5/8x + 0.5

Step-by-step explanation:

5/8 is the slope if you could 5 up and 8 to the side

slope form is y=mx+b

y = 5/8x + 0.5

<!> Brainliest is appreciated! <!>

5 0
3 years ago
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