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love history [14]
3 years ago
14

Determine the equation of the inverse of y= 2^3x-1

Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

Answer:

f^-1(x)= 1/3+In(x)/3 In(2)

Step-by-step explanation:

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If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?​
sertanlavr [38]

Answer:

Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable (x in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of f(x) and we must find the domain and range of g(x).

Domain

The domain of g(x) is the domain of f(x). That is, Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Range

We have to define the bounds of the range of g(x), given that range f(x) is modified by streching and horizontal translation operations:

Lower bound (f(x) = j)

g(x) = m\cdot j +p

Upper bound (f(x) = k)

g(x) = m\cdot k +p

In consequence, the range of g(x) is Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

3 0
3 years ago
At a day camp there is 56 girls and 42 boys the campers need to be split into equal groups each has either all girls are all boy
rusak2 [61]
AT this day camp, the greatest number of campers each group can have is 14 campers.
7 0
3 years ago
Evelyn says that the equation 3(x - 3) + 5 = 3x + 1 + 4
Alex787 [66]

Step 1: Simplify both sides of the equation.

3(x−3)+5=3x+1+4

(3)(x)+(3)(−3)+5=3x+1+4(Distribute)

3x+−9+5=3x+1+4

(3x)+(−9+5)=(3x)+(1+4)(Combine Like Terms)

3x+−4=3x+5

3x−4=3x+5

Step 2: Subtract 3x from both sides.

3x−4−3x=3x+5−3x

−4=5

Step 3: Add 4 to both sides.

−4+4=5+4

0=9

8 0
3 years ago
Given a sphere with radius r, the formula 4pi r^2 gives
Shkiper50 [21]

Answer:

Step-by-step explanation:

That's B:  the surface area.

The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.

8 0
3 years ago
Find the missing digit for the following bank identification numbers:
Softa [21]

Answer:

71100139<u>2</u>

321000<u>7</u>59

Step-by-step explanation:

hope it helps ^o^

6 0
2 years ago
Read 2 more answers
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