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zzz [600]
3 years ago
13

Let f(x) = x2 − 16. find f−1(x). open study

Mathematics
2 answers:
Sonja [21]3 years ago
6 0
<u>+</u>√(x+16) = f^-1(x). 

Switch out f(x) with y
Swap y and x, so it's x=y^2-16
Add 16 to both sides. x+16=y^2
Find the square root of both sides...
√x+16 = √y^2


Bogdan [553]3 years ago
5 0
Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y
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If a,b,c are all non-zero numbers and a+b+c=0, prove that
Butoxors [25]

<em>Given - a+b+c = 0</em>

<em>To prove that- </em>

<em>a²/bc + b²/ac + c²/ab = 3</em>

<em>Now we know that</em>

<em>when x+y+z = 0,</em>

<em>then x³+y³+z³ = 3xyz</em>

<em>that means</em>

<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>

<em>Lets solve for LHS</em>

<em>LHS = a²/bc + b²/ac + c²/ab</em>

<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>

<em>by multiplying missing denominators,</em>

<em>now take common abc from denominator and you'll get,</em>

<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>

<em>Comparing one and two we can say that</em>

<em>(a³+b³+c³)/abc = 3</em>

<em>Hence proved,</em>

<em>a²/bc + b²/ac + c²/ab = 3</em>

6 0
3 years ago
Someone please solve. I keep getting 66 but it's wrong.​
sashaice [31]

The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees.  z as the third angle in the small triangle is 180 less than the sum of the other two,

z = 180 - 22 - 102

Answer: 56 degrees

7 0
3 years ago
Read 2 more answers
I need help please!!!
vazorg [7]

963i think its probaly wrong


6 0
3 years ago
Standred from and word from
Orlov [11]
Thrirty-two million,five thousand,and eight.
4 0
3 years ago
Read 2 more answers
Bobby is 28cm shorter than Daniel. Roy is 19 cm taller than Daniel. Find the difference in height between Roy and Bobby.
Tcecarenko [31]

Answer:

There is a 47cm difference between the two....

So you just added 28cm to 19cm to get 47cm....

Because 19-(-28) is 19 + 28.

Hope this helps :D

Step-by-step explanation:

6 0
3 years ago
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