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:

$f(x) = x^2$

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

4 0

2 years ago

PLEASE HELP THIS IS DUE IN 10 MINUTES!!!!!

andreev551 [17]

<h3>Answer:</h3>

b1-h3, b2-h2, b3-h3.

Step-by-step explanation:

See the image.

Hope that helps! :)

(Can you please mark me as brainliest?)

4 0

3 years ago

Read 2 more answers

The angle 0 lies in quadrant 1. sin 0=2/5 what is cos 0?

BaLLatris [955]

Answer:

√21/5

Step-by-step explanation:

Took the quiz:D (that’s a fraction btw)

7 0

3 years ago

solve for the indicated variable. include all of your work in your answer. submit your solution. P=2L+2W; for L.

allochka39001 [22]

We have this equation:

$P=2L+2W$

So, we need to solve this equation for L. Then we sum -2W in each member of the equation, like this:

$P-2W=2L+2W-2W$
$P-2W=2L$

Then, dividing the equation by 2:

$\frac{P-2W}{2}=L$

Finally, let's order this equation:

$L=\frac{P-2W}{2}$

4 0

3 years ago