All categories

4 years ago

Find the inverse of the function: y=log₂(-4x)

Mathematics

1 answer:

Vlad1618 [11]4 years ago

5 0

Answer:

-2^(x-2)

Step-by-step explanation:

Using differential calculus:

We know that the integral of 1/x = ln(x)

or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)

You might be interested in

Identify the equation that describes the line in slope-intercept form. slope = 2 , point (- 1, 2) is on the line

JulijaS [17]

Answer:

$y=2x+4$

Step-by-step explanation:

Given a slope and a point on the line, you can use point slope form and then rearrage your terms into slope-intercept form

SLOPE-INTERCEPT FORM: $y=mx+b$ , where "m" is your slope and "b" is your y-intercept
POINT-SLOPE FORM: $(y-y_{1}) =m(x-x_{1})$ , where $y_{1}$ represents the y-coordinate of your point, $x_{1}$ represents the x-coordinate of your point, and $m$ represents the slope

$(y-2)= 2(x-(-1))$

Point-slope form

$(y-2)=2(x+1)$

$y-2=2x+2$

$y=2x+4$

Slope-intercept form

3 0

2 years ago

Find the equation of a line that runs through (2,5) and is parallel to the line with a slope of 2/4

Varvara68 [4.7K]

Parallel lines have the same slope

y - y1 = m(x - x1)
slope(m) = 2/4
(2,5)...x1 = 2 and y1 = 5
now we sub
y - 5 = 2/4(x - 2)

now if there is a typo and ur slope is 3/4....it would be :
y - 5 = 3/4(x - 2)

6 0

3 years ago

mrs. ranzoni made a sandwich that is 3 inches long and 5 inches wide. If she cuts the sandwich on the diagonal into 2 equal righ

Eddi Din [679]

Answer:

The length of Diagonal of the sandwich is 5.830 inches

Step-by-step explanation:

Given as :

The length of sandwich = 3 inches

The width of sandwich = 5 inches

Now, According to question , The sandwich is cut into to equal right triangle

So , As It become Right angle Triangle

∴ From Pythagoras Theorem

H² = P² + B²

Or, Diagonal² = 3² + 5²

Or, Diagonal² = 9 + 25 = 34

∴ Diagonal = √34 inches = 5.830 inches

Hence The length of Diagonal of the sandwich is 5.830 inches Answer

4 0

3 years ago

Which is the graph of f(c)=x^2-2x+3

Anuta_ua [19.1K]

Answer:

ecd

Step-by-step explanation:

8 0

3 years ago

Find the edge of cube whose lateral surface area is 36cm2

belka [17]

Answer:

9cm

Step-by-step explanation:

4*s=36

s=36/4

s=9cm

4 0

3 years ago