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alexira [117]
3 years ago
5

If f(x) = 3x – 15, then f-'(x) =D

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

f^{-1}(x)=\frac{x+15}{3}

or

f^{-1}(x)=\frac{x}{3}+5

Step-by-step explanation:

That means we want to find the inverse function of f(x)=3x-15.

The inverse function is just the swapping of x and y really.  We tend to remake the y the subject afterwards.  

So we are given:

y=3x-15

First step: Swap x and y

x=3y-15

Now it's time to solve for y.

Second step: Add 15 on both sides:

x+15=3y

Third step: Divide both sides by 3:

(x+15)/3=y

The inverse function is:

f^{-1}(x)=\frac{x+15}{3}

You can also split up the fraction like so:

f^{-1}(x)=\frac{x}{3}+\frac{15}{3}

The last fraction there can be reduced:

f^{-1}(x)=\frac{x}{3}+5

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EASY PLZ HELP!<br> Solve for x. (Show your work)<br> 2x + 3 &gt; 5
m_a_m_a [10]

<u><em>Hi there! </em></u>

<u><em>Answer:</em></u>

<u><em>X>1</em></u>

<u><em>*The answer must have a positive sign and greater than symbol.*</em></u>

Step-by-step explanation:

First, you subtract by 3 from both sides of an equation.

2x+3-3>5-3

Then, you subtract by the numbers from left to right.

5-3=2

2x>2

You can also divide by 2 from both sides of an equation.

\frac{2x}{2}>\frac{2}{2}

Finally, you divide by the numbers from left to right.

2/2=1

<em><u>Final answer is x>1</u></em>

I hope this helps you!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

8 0
2 years ago
Read 2 more answers
I have a math question
Elena L [17]

For the first question; we have a problem dealing with translations. Our goal is to translate the word problem into an algebraic one. So our numbers are 60, 2, and 5. Our variable, or the letter holding the unknown number's place value,  is N. <span>

</span>The problem states that 60 is MORE THAN the PRODUCT of 5 and N. Focus on the words I bolded and capitalized. These are your key words that tells you what operations you need to use. Note that 'product' signals the operation of multiplication (Since the answer you get from multiplying numbers is called the 'product'.) and 'more than' signals the operation of addition (Because you are left off with more than you originally had before adding). <span>

</span>Now that we know that our algebraic expression contains multiplication, addition, letter N and the numbers 2 and 5; we can start plugging the numbers in.<span>

</span>60 = 2 (more than) + (product of) 5N. The answer for the first attachment is B. <span>

</span>_____________________________________________________________<span>

</span>All we need to do for the AB problem (Question 25 on your material) is solve AB.<span>

</span>Note 1: When a problem has no operation separating two letters or numbers, this means multiplication.<span>

</span>Note 2: A and B are variables. Variables are letters that stand for and hold the place of our unknown quantities. However, the values are not unknown anymore given the fact that the question tells us that A= 42 and B = 2. Thus we substitute A with 42 and B with 2, then work from there. 42 * 2 =84. Answer = A.

____________________________________________________________________

And finally, for question 26, we use PEMDAS. P = parenthesis (), E = exponent x^2, M/D = x or /, A/S means + or subtraction.

According to PEMDAS, we first solve what's parenthesis, which is 77 – 32. Using mental math, 77 – 32 = 45. ( 7 – 3 = 4 and 7 – 2 = 5.). 5/9 * 45 is what we have left. 5 divided by 9 =0.5555555555555556. 0.5555555555555556 * 45 = 25. Answer is D. 

6 0
2 years ago
What is 411, 600, 000 in scientific notation
Morgarella [4.7K]

Answer:

4.116 × 108

Step-by-step explanation:

I simply used a Scientific Notation Converter

5 0
2 years ago
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Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. (3,
tresset_1 [31]

Answer:

a c d took the test on edgenuity

4 0
3 years ago
Read 2 more answers
Solve quadratic equation (x-3)^2+5=14
loris [4]
(X-3)^2+5=14
Step 1: simplify both sides of the equation
X^2-6x+14=14

Step 2: subtract 14 from both sides
X^2-6x+14-14=14-14
X^2-6x=0

For this equation: a=1, b=-6,c=0
1x^2+-6x+0=0

Step 3: Use quadratic formula with a=1, b=-6, c=0

The answer is x=6 or x=0

5 0
3 years ago
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