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3 years ago

If f(x) = 3x– 2 and g(x) = x^2– 5, what is g(f(2))?

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Answer:

$\large\boxed{g\bigg(f(2)\bigg)=11}$

Step-by-step explanation:

$f(x)=3x-2,\ g(x)=x^2-5\\\\g\bigg(f(2)\bigg)=?\\\\\bold{STEP\ 1:}\\\text{Calculate}\ f(2).\\\text{Substitute}\ x=2\ \text{to}\ f(x):\\\\f(2)=3(2)-2=6-2=4\\\\\bold{STEP\ 2:}\\\text{Substitue}\ x=4\ \text{to}\ g(x):\\\\g(4)=4^2-5=16-5=11$

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Use the Pythagorean theorem to find the diameter:

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3 years ago

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200

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Answer:

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Step-by-step explanation:

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3 years ago

The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2

podryga [215]

<u><em>Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.</em></u>

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

Enlargement occurs when a dilation does create a larger image.

Reduction occurs when a dilation does create a smaller image.

A dilation shrinks or stretches the original object.
If the scale factor > 1, the image will be a stretch (enlargement)
If the scale factor is between 0 and 1, the image will be shrunk (reduction)
If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

#learnwithBrainly

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