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3 years ago

Interpret or describe what the following statement means: P(-8) = 12.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

5 0

It could mean a variety of things. Assuming P is a function, ...

When the function whose name is P is evaluated with the independent variable having the value -8, the result is 12.

_____

If P is a variable, it means that multiplying P by -8 gives a result of 12.

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Jeffrey is biking through the mountains. He bikes for six hours every day. When he started his ride one day the temperature was

Mashcka [7]

Answer:

Step-by-step explanation:

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4 years ago

What is the inverse of f(x) = sqft x+ 3

grin007 [14]

Answer:

$f^{-1} (x)=x^{2} -3$

Step-by-step explanation:

Given the function

$f\left(x\right)=\sqrt{x+3}$

We can find the inverse function by exchanging x and y, and then solve for y.

$y=\sqrt{x+3}$

Replace x with y.

$x=\sqrt{y+3}$

square both sides

$x^2=y+3$

$y=x^2-3$

Hence,

$f^{-1} (x)=x^{2} -3$

8 0

3 years ago

If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function

Naddik [55]

Answer:

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

$f(x) = \sqrt{x}$

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

$\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}$

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

7 0

3 years ago

I need help that is simple enough explnation

velikii [3]

Answer:

7 in both boxes

Step-by-step explanation:

In the picture, it shows

4 (x - 3) = 20

and then it shows

4 (x) - 4 (3) = 20

so practically you separate the x and 3 and put them in parentheses and then put a 4 next to both of them.

It should be the same as your question.

7 x (8 - 3)

and then separate 8 and 3 and put a 7 next to both of them.

( 7 x 8) - ( 7 x 3)

Hope it helps and have a great day! =D

~sunshine~

3 0

2 years ago

Which expression is equivalent to (-4y-x)-(y-9x) ?

777dan777 [17]

Answer:

-5y + 8x

Step-by-step explanation:

$(-4y-x)-(y-9x)\\\\-4y-x-(y-9x)\\\\\rightarrow-(y-9x)*-1=-y+9x\\\\-4y-x-y+9x\\\\-4y-y+9x-x\\\\\boxed{-5y+8x}$

7 0

3 years ago