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inessss [21]
3 years ago
6

Witch one I need help

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

I believe the correct answer is A.

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The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
3 years ago
Plz help me with this question plz it's requested plz ​
astraxan [27]

Step-by-step explanation:

Answer above

if you have any doubts ask in comments

3 0
3 years ago
Rewrite y = 2x + 1 in function notation.
Arada [10]
 f(x) = 2x - 7 This should be the answer!!
8 0
3 years ago
Read 2 more answers
Find x 4.0 58 degrees
timama [110]

Answer:  4.7

<u>Step-by-step explanation:</u>

Use Soh Cah Toa

sin \theta=\dfrac{opposite}{adjacent}\\\\\\sin(58^o)=\dfrac{4.0}{x}\\\\\\x=\dfrac{4.0}{sin(58^o)}\\\\\\x=4.7

4 0
3 years ago
Read 2 more answers
Pete went to the store. He bought 3 pounds of chili peppers, 5 pounds of habanero peppers,
tangare [24]
Chili peppers: 3 pounds x $2 per lb = $6
Habanero peppers: 5 pounds x $2 per lb = $10
Red bell peppers: 1 pound x $2 = $2
6+10+2= $18 dollars spent total
6 0
2 years ago
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