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Leno4ka [110]
3 years ago
8

Which represents the inverse of the function f(x) = 4x?

Mathematics
1 answer:
vazorg [7]3 years ago
4 0

Option D: h(x)=\frac{1}{4}x is the inverse of the function f(x) = 4x

Explanation:

Given that the function is f(x)=4x

We need to determine the inverse of the function.

<u>Inverse of the function h(x):</u>

The inverse of the function can be determined by interchanging the variables x and y and then solving the function for y.

Thus, the function is written as,

y=4x

Interchanging the variables x and y, we have;

x=4y

Dividing both sides by 4, we get;

\frac{1}{4}x=y

Thus, the inverse of the function is h(x)=\frac{1}{4}x

Hence, Option D is the correct answer.

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Find the area of the triangle. A drawing of a triangle with base of 18 inches and height of 7 inches. The area is square inches.
Citrus2011 [14]

Answer:

63

Step-by-step explanation:

First we multiply :)

18 x 7 = 126

Now we divide :)

126/2 = 63

Therefore your answer will be 63. :)

Have an amazing day!!

Please rate and mark brainliest!!

3 0
2 years ago
After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab
Gekata [30.6K]

We can answer the first part of the question not taking intersecting function into account. The domain of y=-x^{2}+36 is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.


Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be y=0.5x+5. We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.


The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.

7 0
3 years ago
Determine the scale factor of the diagram
Leno4ka [110]
5 cm de longitud de eso
8 0
3 years ago
Factorise x^2-y^2-2x+6y-8
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3 0
3 years ago
doug owns a lawn mowing service and landscaping business. the income from the business is given by the function f(x) = 2x + 54,
umka21 [38]

Answer:

For 2 parallelograms, the corresponding side lengths are 1 inch and x inches, and 2 inches and 6 inches.

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Step-by-step explanation:

6 0
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