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otez555 [7]
2 years ago
12

How do you find the domain and range of a quadratic function?

Mathematics
1 answer:
elena-s [515]2 years ago
7 0

Answer:

the domain is always all real numbers and you find the range by finding the vertex which is f(-b/2a)

Step-by-step explanation:

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the gi
STatiana [176]

Answer:

To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

So,

y = e^2x - 4

Now

Replace x and y

Therefore

x = e^2y - 4

Now compute the value of y

So,

x + 4 = e^2y

Now take ln on both sides:

The equation is

ln(x+4) = ln(e^2y)

ln(x+4) = 2y

y = ln(x+4) ÷ 2

f^{-1}(x)= \frac{ln\ x+4}{2}

Therefore,  To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

5 0
3 years ago
Multiply: (4x – 7)(2x – 9)
Marizza181 [45]
Hello there!


Let's use foil.

First: 4x * 2x = 8x^2

Outside: 4x * -9 = -36x

Inside: -7 * 2x = -14x

Last: -7 * -9 = 63


Now, let's combine these.

8x^2 - 36x - 14x + 63

Finally, we can simplify this

8x - 50x + 63



I hope I helped!

Let me know if you need anything else!

~ Zoe


7 0
3 years ago
Suppose the number of water lilies in pond doubles every day. If the pond was half covered on Monday, when was it only one-forth
Kaylis [27]

it would be covered by tuesday: because if it doubles each day and it is half full on monday it would be double that so it would be 100% 4/4 covered

6 0
2 years ago
A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a​ 40-hour
kodGreya [7K]

Solution: Estimated time for the work is 40 hour work week.

Estimated payment to 3 laborers working 40 hours at cost $14 per hour is:

3\times 40\times 14= $1680

Estimated payment to 6 masons working 40 hours at cost $24 per hour is:

6\times 40\times 24= $5760

Estimated cost of material = $3143

Contractor wishes to make a profit of $500

Therefore, the mathematical expression that will give the estimated cost of the job is:

Cost = 1680+5760+3143+500

The estimated total cost is:

Cost =$11083




5 0
3 years ago
Read 2 more answers
Pls help me I only have 2 minutes left winner gets brainliest
spin [16.1K]

Answer: B

Step-by-step explanation:

4 0
3 years ago
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