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
Oksana_A [137]
3 years ago
6

Which function is the inverse of f(x)=b^x

Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0

Answer:

Answer is F^1(y)= logb^y

Step-by-step explanation: Apex:)

max2010maxim [7]3 years ago
6 0

Here we are given the function:

f(x)=b^{x}

Steps to find inverse are :

Step 1:

First replace f(x) by y.

y=b^{x}

Step 2:

Replace every  x with a  y and replace every  y with an  x.

x=b^{y}

Step 3:

Solve the equation from step 2 for y.

x=b^{y}

Taking log on both sides:

logx=log(b^{y})

logx=ylogb

y=\frac{logx}{logb}

Answer:

Inverse function is :

y=\frac{logx}{logb}

You might be interested in
Projectile Is shot upward from the surface of Earth with an initial velocity of 136 meters per second. Use the position
Anna007 [38]

Answer:

v(3\,s) = 106.6\,\frac{ft}{s}, v(15\,s) = -11\,\frac{ft}{s}

Step-by-step explanation:

The velocity function of the projectile is obtained by deriving the position function:

v(t) = -9.8\cdot t + 136

Now, the velocities after 3 and 15 seconds are, respectively:

v(3\,s) = -9.8\cdot (3) + 136

v(3\,s) = 106.6\,\frac{ft}{s}

v(15\,s) = -9.8\cdot (15) + 136

v(15\,s) = -11\,\frac{ft}{s}

6 0
3 years ago
Describe how you would find the sum of 24,36and 13
Oksi-84 [34.3K]
I would add them together to get 73

Step-wise I would add the ones column together to get 13, carry the one over then add the tens up to get 70 - your answer is 73
3 0
3 years ago
Read 2 more answers
Please help due tmr I also have 2 more questions!
Marina CMI [18]

Answer:

17

Step-by-step explanation:

n = 17

n - 7 = 10

Carry over the - 7

n = 7 + 10

n = 17

6 0
3 years ago
Graph the line y+3x=-3​
ivanzaharov [21]

Answer:  y = -3x-3 (Choose values for x)

Step-by-step explanation:

1st change the equation to y = mx+b form

In order to change the equation to y = mx+b form subtract the 3x to both sides.
The equation now becomes y = -3x-3

2nd we can either choose values for x such has (-2,-1,0,1,2) and plug in those values into our equation y = -3x-3
For example, if we plug in x= -2 we get y= -3(-2)-3 which becomes y =3. We then plot the point (-2,3) because -2 is our x coordinate and 3 is our y coordinate.
Or we can plug the equation into a calculator that will graph the equation for you.

3 0
2 years ago
For this question, consider the function f (x ) = -2x 2 + 8x + 3.
ololo11 [35]

f' = -4x+8=0 => x=2

=> f(2) is the maximum = 11

8 0
3 years ago
Other questions:
  • Zero is<br> a divisor.<br> O always<br> O sometimes<br> O never
    13·1 answer
  • How much simple interest would Kaitlyn earn on $300 at 6% for 6 months? A. $54 B. $9 C. $18 D. $27
    11·2 answers
  • Find 3mt(2m^2-3mt+r^2)
    8·1 answer
  • Find the indicated values?<br> f(g(-1))
    12·1 answer
  • 6.2 x 4.3 + 7.6 simplify
    12·1 answer
  • Helpp i really neeed it
    11·1 answer
  • A car increases then decrease its speed which could represent the speed of the car
    8·1 answer
  • An exterminator charges $80 to visit a home and $35 to spray each room. If the total bill was $395, how many rooms were sprayed?
    8·1 answer
  • I need the answer HELP pls
    5·1 answer
  • Help, i was out sick for most of the week before and didnt learn this materal, i really need help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!