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kherson [118]
3 years ago
13

Suppose the functions f(x) and g(x) are inverse functions.About what line is the graph of g(x) a reflection

Mathematics
2 answers:
nalin [4]3 years ago
8 0
If f(x) and g(x) are inverse functions, their graphs are reflections of one another in the line y=x.
jolli1 [7]3 years ago
3 0
If two functions are inverse of each other, they are basically switching the x- and y-axes.

Take for example, p(x)=2x, is a line passing through the origin with a slope of two. Its inverse, q(x)=x/2, is a line passing through the origin with a slope of 1/2, the reciprocal of 2.   If you plot the two lines, you will notice that the two lines are symmetrical about y=x, or a 45 degree line from the x-axis.

This also explains y=x (which lines on the line of reflection) has its inverse also equal to y=x!

You might be interested in
What is the x value such that y =15 - 3x and y = 0? Please explain how you got this answer.
ICE Princess25 [194]

Answer:

x=5

Step-by-step explanation:

So how i came about to get this answer, was

y=15-3x

y=15-3(5)

y=15-15

y=0

I found five by testing out different numbers for x such as 1 2 3 4, but when i got to five, that was where i got the answer, as shown above.

<u>Do</u><u> </u><u>not</u><u> </u><u>forget</u><u> </u><u>about</u><u> </u>PEMDAS

3 0
3 years ago
I need help on this thank you ​
Rasek [7]
I think it B or D I hope i don’t get it wrong
5 0
3 years ago
In a lab experiment, 2400 bacteria are placed in a petri dish. Due to the conditions, the
o-na [289]

Answer:

38,400 bacteria

Step-by-step explanation:

Because there are 24 hours in a day, it will double 4 times

2400times 2 equals 4800 (1st)

4800 times 2 equals 9600 (2nd)

9600 times 2 equals 19200 (3rd)

19200 times 2 equals 38400 (4th)

5 0
3 years ago
HEEEEEELP !
iogann1982 [59]

If you meant to write y=23x-4 then none of the lines are perpendicular.

I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.

For any line y=mx+b, you have to "invert" m to get  a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.

So 2/3 becomes -3/2, hence answer D.

The 'inverted' m is called the opposite reciprocal. That's your word of the day.


6 0
3 years ago
Match each expression on the left with an equivalent expression on the right
Lana71 [14]
Answer: See explanation
Step-by-step explanation:
You didn't give the expressions but here are some expressions
a. ✓4x²y^4. 1. 2x✓y
b. ✓8x²y. 2. 2y✓2x
c. ✓4x²y. 3. 2xy²
d. ✓16xy². 4. 2x✓2y
e. ✓8xy². 5. 4y✓x
a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4
= 2 × x × y²
= 2xy²
Therefore, ✓4x²y^4 = 2xy²
b. ✓8x²y = ✓8 × ✓x² × ✓y
= ✓4 × ✓2 × ✓x² × ✓y
= 2 × ✓2 × x × ✓y
= 2x✓2y
Therefore, ✓8x²y = 2x✓2y
c. ✓4x²y = ✓4 × ✓x² × ✓y
= 2 × x × ✓y
= 2x✓y
Therefore, ✓4x²y = 2x✓y
d. ✓16xy² = ✓16 × ✓x × ✓y²
= 4 × ✓x × y
= 4y✓x
Therefore, ✓16xy² = 4y✓x
e. ✓8xy² = ✓8 × ✓x × ✓y²
= ✓4 × ✓2 × ✓x × ✓y²
8 0
2 years ago
Read 2 more answers
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