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NeTakaya
3 years ago
13

What function is the inverse of the exponential function y = 4^x?

Mathematics
1 answer:
Flura [38]3 years ago
6 0
Cancel the common factor of ln(4) ln ( 4 ) . Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=ln(x)ln(4) f - 1 ( x ) = ln ( x ) ln ( 4 ) is the inverse of f(x)=4x f ( x ) = 4 x .
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HELP ME PLZ<br><br> ce 365<br> What is mz1?<br> 3r
Travka [436]

Answer:82+31=113     180-113=67 so the answer is 67

Step-by-step explanation:

6 0
3 years ago
Please help! Find the equation of the line (graph provided in attached picture) Use exact numbers. y =_ x+_ ( _ represent blanks
Dennis_Churaev [7]

Answer:

y = \frac{3}{4}x - 2

Step-by-step explanation:

Equation of a line is given as y = mx + b

Where,

m = slope of the line = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.

Let's find m and b to derive the equation for the line.

m = \frac{y_2 - y_1}{x_2 - x_1}

Use the coordinate pair of any two points on the line. Let's use the following,

(0, -2) = (x_1, y_1) => on the line, when x = 0, y = -2

(4, 1) = (x_2, y_2) => on the line, when x = 4, y = 1

Plug in the values and solve for m

m = \frac{1 - (-2)}{4 - 0}

m = \frac{1 + 2}{4}

m = \frac{3}{4}

b = -2 (the line intercepts the y-axis at this point)

Our equation would be =>

y = mx + b

y = \frac{3}{4}x + (-2)

y = \frac{3}{4}x - 2

5 0
3 years ago
What's the horizontal asymptote of f(x)=x-3/x+2
jasenka [17]

Answer:

y=1

Step-by-step explanation:

4 0
3 years ago
A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im
loris [4]

Answer:

Coordinates of Vertices of triangle ABC are A (-4,3) , B(4,4) and C(1,1).

As, DO is Dilation of Δ ABC by Scale factor of \frac{1}{2}.

Vertices of A' B'C' are

A'=(\frac{-4}{2},\frac{3}{2})=(-2,\frac{3}{2}), B'=(\frac{4}{2},\frac{4}{2})=(2,2), C'=(\frac{1}{2},\frac{1}{2})

So, Image Δ A'B'C' will be smaller than the Pre image Δ ABC.

The two triangles will be congruent.

AO is Dilated by a factor of half , so A'O' will be half of AO.

So, correct Statements are

1. AB is parallel to A'B'.

2.DO,1/2(x, y) =  

The distance from A' to the origin is half the distance from A to the origin.

OA=\sqrt{(-4)^2+3^2}=\sqrt{25}=5\\\\ O'A'=\sqrt{2^2+(\frac{3}{2})^2}=\frac{5}{2}=2.5

8 0
3 years ago
Read 2 more answers
Susan had four boxes of cereal in her pantry. If she went through 7/2 boxes in a month, how many boxes of cereal remain?
Serggg [28]

Answer: she has 1/2 of a box left

Step-by-step explanation: hope it helped

7 0
3 years ago
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