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erik [133]
3 years ago
6

What's the inverse of f(x)=3x^2+6?

Mathematics
1 answer:
djyliett [7]3 years ago
5 0
Switch where the x and y are, then solve for y. f(x) = y.

x = 3y^2 + 6

x-6 = 3y^2

(x-6)/3 = y^2

f^-1(x) = y = sqrt((x-6)/3)
You might be interested in
A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit
valina [46]
Hello!

You first find out how many objects there are in total


4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange

Next you find the probability of Liliana picking a pear

There are 3 pears and 16 items to pick so she has a 3/16 chance

Then you add them together to find the chance of either happening

4/16 + 3/16 = 7/16

So she has a 7 out of 16 chance of getting an orange or a pear

The answer is 7/16

Hope this helps!
3 0
3 years ago
-2 ×^2 - 4y +6. x=-3. y=-2 <br> evaluate ​
gladu [14]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<em><u>-2 ×^2 - 4y +6</u></em>

<em><u>Evaluate simply means to form an idea of something</u></em>

<em><u>So Evaluate for x=−3,y=−2</u></em>

<em><u>−2(−3)2−(4)(−2)+6</u></em>

<em><u>−2(−3)2−(4)(−2)+6</u></em>

<em><u>Answer =−4</u></em>

8 0
3 years ago
A girl spent $39 and has 3/4 of the original amount left how much money did she originally have
Dvinal [7]
Ok so divide 39 by 4 which is 9.75 then mulitiply that by 3 to get your answer of $29.25
3 0
2 years ago
True or false: for any function, x=f^-1(y), then y=f(x)
kozerog [31]

YES

We can work out the inverse using Algebra. Put "y" for "f(x)" and solve for x:

<span><span>The function: f(x)=2x+3
</span><span>Put "y" for "f(x)": y=2x+3
</span><span>Subtract 3 from both sides:
 y-3=2x
</span><span>Divide both sides by 2:
 (y-3)/2=x
</span><span>Swap sides: x=(y-3)/2</span><span>  
   </span><span><span>Solution (put "f-1(y)" for "x") :</span> <span>f-1(y)</span>=(y-3)/2</span></span>


6 0
3 years ago
Read 2 more answers
V²=u²+2as. If u = 12, a = -3 and s=18, Find v
Lina20 [59]

Answer:

v=6

Step-by-step explanation:

v²=u²+2as

v²=12²+2(-3)(18)

v²=144-108

v²=30

v=6

8 0
1 year ago
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