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TiliK225 [7]
3 years ago
10

If f(x) = log2 (x + 4), what is f−1(3)?

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0
Now, to get the inverse "relation", we first, do a quick switcharoo on the variables, and then solve for "y".

\bf f(x)=y=log_{2}(x+4)\qquad inverse\implies \boxed{x}=log_{2}\left(\boxed{y}+4  \right)\\\\
-------------------------------\\\\
\textit{Logarithm Cancellation Rules}\\\\
log_{{  a}}{{  a}}^x\implies x\qquad \qquad 
{{  a}}^{log_{{  a}}x}=x\\
~~~\qquad \qquad \qquad \qquad \qquad \uparrow \\
~\qquad \qquad \qquad \textit{let's use this rule}\\\\
-------------------------------\\\\


\bf 2^x=2^{\cfrac{}{}log_{2}(y+4)}\implies 2^x=y+4\implies 2^x-4=y\impliedby f^{-1}
\\\\\\
thus\qquad 2^3-4=f^{-1}(3)\implies 8-4=f^{-1}(3)\implies 4=f^{-1}(3)
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Miss Taylor graded 50 English research papers. Twelve of them received a grade of A. Miss Taylor drew a circle graph to display
nikdorinn [45]
<h3>Answer:</h3>

\large\boxed{24\%}

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to find how much percentage the circle graph is for "A" papers.

To solve this question, we would need to use information from the question.

Important information:

  • Graded 50 English research papers
  • 12 of those papers had an "A" grade

With the information above, we can solve the question.

We know that there are 12 research papers that received an A and there are 50 research papers in total.

We would divide 12 by 50 in order to find the percentage of the papers that got an A.

12\div50=24

When you divide, you should get 24.

This means that 24% of the circle graph is devoted to "A" papers.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
3 0
3 years ago
A quadrilateral is dilated by a scale factor of 2. It's original side measures are 7, 14, 21, and 28.
algol13

Answer:

14,28,42 and 56

Step-by-step explanation:

Multiply all lengths by 2 as the quadrilateral is dilated by a scale factor of 2

6 0
2 years ago
Read 2 more answers
a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 ti
ICE Princess25 [194]

Answer:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

Step-by-step explanation:

Length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 3x

Total length is 36 inches:

x + 2x + 3x = 36

6x = 36

x = 6

Therefore, the lengths are:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

7 0
3 years ago
1220000 scientific notation
Nutka1998 [239]

Answer:

1.22 x 10^{6}

Step-by-step explanation:

1,220,000 would be...

1.22 x 10^6

4 0
3 years ago
Read 2 more answers
A coin is tossed seven times and the sequence of heads and tails is observed. what is the number of different outcomes having ex
Margaret [11]
You could make a tree diagram
                  H                          T                               ← 1st toss

           H           T               H          T                       ← 2nd toss

     H       T    H      T       H     T    H    T                   ← 3rd toss
etc ,,, then count the combination of favorable outcomes

Using a calculator:
Total number of outcomes is 2^{7} = 128
Probability of getting exactly 3 heads is found using the follow calculator feature: binompdf(7, 0.5, 3) 

ANSWER: Typed into the calculator as follows binompdf(7,0.5,3)×128 = 35



7 0
3 years ago
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