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weeeeeb [17]
3 years ago
7

The point (3,2) reflected in the x-axis is

Mathematics
2 answers:
mina [271]3 years ago
7 0

Answer: (3,-2)

Step-by-step explanation:

Lelechka [254]3 years ago
3 0

Answer:

The new coordinates will be (3,-2)

Step-by-step explanation:

When reflecting over the x-axis the x value stays the same while the y value changes its sign.

You might be interested in
If(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
deff fn [24]

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

4 0
2 years ago
Can anybody tell me how to solve this
Lyrx [107]
The answer to your question is:  Yes, someone undoubtedly can.

Although you haven't asked to be told or shown how to solve it, I'm here
already, so I may as well stick around and go through it with you.


The sheet is telling you to find the solutions to two equations, AND THEN
DO SOMETHING WITH THE TWO SOLUTIONS.  But you've cut off the
instructions in the pictures, so all we have are the two equations, and
you'll have to figure out what to do with their solutions.

<u>First equation:</u>
                                   (2/5) x - 6 = -2
Add 6 to each side:
                                   (2/5) x = 4
Multiply each side by 5:
                                   2x = 20
Divide each side by 2 :
                                     <u>x = 10</u>

<u>Second equation:</u>
                                   -3y + 1/4 = 13/4
Subtract 1/4 from each side:
                                   -3y = 12/4
Multiply each side by 4 :
                                -12 y = 12
Divide each side by -12 :
                                      <u> y = -1</u>
5 0
3 years ago
Read 2 more answers
What’s the slope of (-3, 6), (2, 6)?
IRINA_888 [86]

Answer:

0

Step-by-step explanation:

(y2-y1)/(x2-x1)

6(y2)-6(y1)= 0

2(x2)- -3(x1)=5

0/5=0

4 0
2 years ago
. what is the difference between these 16 degrees farenheit and -15 degrees farenheit
Ivahew [28]

Answer:

The answer 1 degrees Fahrenheit because you have to subtract 16-15. I subtracted 16-15 instead of putting the negative sign

7 0
3 years ago
A combination lock uses 4 numbers, each of which can be 0 to 33. If there are no restrictions on the numbers, how many possible
vodomira [7]

Answer:

Solution for A combination lock uses 3 numbers, each of which can be 0 to 33. If there are no restrictions on the numbers, how many possible ...

Step-by-step explanation:

6 0
2 years ago
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