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Novay_Z [31]
3 years ago
11

What is the inverse of the function below? f(x) = 2^x + 6

Mathematics
2 answers:
erik [133]3 years ago
7 0

Answer:

f^-1 (x) = log 2 (x-6)

Step-by-step explanation:

Helen [10]3 years ago
6 0

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.



f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



x + 6 = 2^{f(x)} -----> Take the logarithm of both sides in order to get the f(x) out of the exponent



Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



\frac{Log(x + 6)}{Log2} = f(x) ----> And switch the order for formatting purposes.



f(x) = \frac{Log(x + 6)}{Log2}



And that would be your new inverse function.

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\implies {\blue {\boxed {\boxed {\purple {\sf { \:  A. \:- 8 {v}^{4}  + 3 {v}^{3}  + v + 5}}}}}}

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2 years ago
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Licemer1 [7]

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3 0
3 years ago
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xenn [34]

From trigonometry we know that:

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This can be rewritten in degrees as:

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Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

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Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

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