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4 years ago

Which expression is equivalent to 4(x+2)

Mathematics

2 answers:

Alekssandra [29.7K]4 years ago

8 0

Answer:

$4x+8$

Step-by-step explanation:

We have been given an expression $4(x+2)$ . We are asked to find equivalent expression to our given expression.

Using distributive property $a(b+c)=ab+ac$ , we will get:

$4\cdot x+4\cdot2$

$4x+8$

Therefore, the expression $4x+8$ is equivalent to our given expression.

inysia [295]4 years ago

3 0

Answer:

The answer is B

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The domain and the range of a function are the set of input and output values, the function can take.

The domain and the range of $g(x) = 9x^2 - 2$ is $(-\infty, \infty)$ .
The parent function $f(x) =x^2$ is vertically compressed by 9, then shifted down by 5 units to get $g(x) = 9x^2 - 2$

Given

$g(x) = 9x^2 - 2$

Domain and range

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

The parent function

We have:

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First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

$f'(x) = 9x^2$

Next, the function is shifted down by 5 units.

So, we have:

$g(x) = f'(x) - 5$

$g(x) = 9x^2 - 5$

Read more about functions at:

brainly.com/question/21027387

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