1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Solve |y + 2| > 6 i dont understand this, please help
Lisa [10]

y < - 8  or y > 4

inequalities of the form | x | > a always have solutions of the form

x < - a or x > a

we have to solve

y + 2 < - 6 or y + 2 > 6

y + 2 < - 6 ( subtract 2 from both sides )

y < - 8

or

y + 2 > 6 ( subtract 2 from both sides )

y > 4

these can be combined using interval notation

y ∈ (- ∞, - 8 ) ∪ (4, ∞ )

As a check

substitute chosen values of x from each interval

y = - 10 :  | - 10 + 2 | = | - 8 | = 8 > 6 this is true

y = 12 : | 12 + 2 | = | 14 | = 14 > 6 which is also true



7 0
3 years ago
WORTH 20 POINTS PLEASE HELP ME
horrorfan [7]
The answer is C.........

5 0
3 years ago
An adult otter weighs 0.695 kilograms. This is 650 grams more than the weigh of a baby otter. How much does a baby otter weigh i
Aleksandr [31]

Answer:

Sea otter pups measure 56 to 61 cm (22-24 in.) in length and weigh 2 to 2.3 kg (4.5-5 lb.).

4 0
3 years ago
What is the value of 4 + 5x when x = 3?
Schach [20]

Answer:

19

Step-by-step explanation:

5 times 3 is 14 plus 4 is 19

6 0
3 years ago
Read 2 more answers
PLEASEE HELP ANYONE
AysviL [449]
Ithe answer is c bec if there is 3 nuts you have 1 out of 3 chance to pull out a almond or cashew.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation represents a quadratic function?<br> y = x2<br> y = 2x<br><br> y =1/x^2
    9·1 answer
  • What percent of 60 is 15?
    9·2 answers
  • Is 4,400 10 times as much as 440
    7·2 answers
  • Lin is 7 years younger than Adrian,
    10·1 answer
  • Select the rational expression that is equivalent to the given expression below. 4 over x - 3
    15·1 answer
  • All vectors are in Rn. Check the true statements below:
    12·1 answer
  • Isaak is writing an explicit formula to represent the sequence.
    15·2 answers
  • 1. A zoo has 340 animals and then increases the number of animals by 5%. How many animals are at the zoo now?
    12·2 answers
  • Please help!!! What is the slope of a line perpendicular to the following line:
    10·1 answer
  • Special air bags are used to protect scientific equipment when a rover lands on the surface of Mars. On Earth, the function appr
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!