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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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Question 7
umka21 [38]

Answer:

A. √16

Step-by-step explanation:

A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.

From the options given, the only radical expression that has two perfect square is √16.

√16 consists of two perfect squares, which are 4 and 4.

4 can be expressed as 2 × 2.

Thus: √16 = √(2 × 2)(2 × 2).

Therefore, √16 consists of two perfect squares.

5 0
3 years ago
10 q<br> uarts = ____ cups
julia-pushkina [17]
10 quarts = 40 cups Explanation: Each quart is equal to 2 pints. So 10 multiplied by 2 is 20 pints. Each pint is equal to 2 cups. So 20 multiplied by 2 is 40.
7 0
4 years ago
Read 2 more answers
Your sister is considering two different shapes for her garden. 1 is a square with side lengths of 3.5 M and the other is a circ
Likurg_2 [28]

Answer:

12.25 M^2(square) 12.56 M^2(circle)

Step-by-step explanation:

side of square= 3.5 M

area of square garden= side*side

=3.5*3.5

=12.25 M^2

Diameter of circle=4 M

Radius of circle=Diameter/2

=4/2

=2

Area of circle garden= 2(pi)r^2(where r is radius)

=3.14*2*2

=12.56 M^2

6 0
3 years ago
Read 2 more answers
Can someone please help me
Basile [38]

Answer:

question 1: the lower left hand graph represents that equation.

question 2: a+b = 180°

question 3: a = b

question 4: a + b = 90°

question 5: a + b = 90°

3 0
3 years ago
P ( x ) = | x | and the image I ( x ) = 1 2 ⋅ P ( x ) graph
Ivan

Answer:

The picture where the red image is the skinniest

Step-by-step explanation:

The graph P(x) denotes the graph of the parent graph for all the functions. And, It includes the vertex of (0,0) and points which are shown below:

x      f(x)

-2      2

-1       1

0       0

1         1

2       2

Now as we can see in the attached figure i.e it changed the function points i.e given below for l(x) = 12P(x)

x      f(x)

-2      24

-1        12  

0        0

1        12

2       24

This depicts that it has a skinner graph that includes redish graph

5 0
3 years ago
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