The graph of g(x) is a reflection and translation of f(x) = ³√x.

Mathematics

1 answer:

yaroslaw [1]2 years ago

7 0

The function g(x) will be given as g(x) = – ∛(x – 1). Then the correct option is D.

The complete question is attached below.

<h3>What is a transformation of geometry?</h3>

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

The function f(x) is given below.

f(x) = ∛x

Then the function of the g(x) will be

g(x) = – ∛(x – 1)

Then the correct option is D.

More about the transformation of geometry link is given below.

brainly.com/question/22532832

#SPJ1

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Find two numbers if their sum is 6.1 and their difference is 1.6

Radda [10]

For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
$x + y = 6.1
$
their difference is 1.6:
$x - y = 1.6
$
Solving the system we have:
We add both equations:
$x + x = 6.1 + 1.6

2x = 7.7

x = 7.7 / 2

x = 3.85$
Then, we look for the value of y using any of the equations:
$x - y = 1.6

y = x - 1.6

y = 3.85 - 1.6

y = 2.25$
Answer:
The numbers are:
$x = 3.85

y = 2.25$