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Artist 52 [7]
3 years ago
13

How to tell if an inverse is a function without graphing?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0
A function's inverse will itself be a function if the original function is one-to-one.  Meaning it passes the horizontal line test.
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Solve system by elimination<br> y=x^2<br> y=x+2<br> SHOW YOUR WORK
Dimas [21]
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)


3 0
3 years ago
Please solve thank you Jesus loves you
34kurt
The correct answer would be B
4 0
3 years ago
Which pair shows equivalent expressions?2(3x+ 2) = 23 x+1<br> 21ę x+ 2) = x+4<br> 2c 21= x+4)= 2
Ket [755]

Answer:

Option (2)

Step-by-step explanation:

Option (1).

2(\frac{2}{5}x+2)=2\frac{2}{5}x+1

\frac{4x}{5}+4=\frac{12}{5}x+1

Therefore, both the sides of the expression are not equal.

False.

Option (2).

2(\frac{2}{5}x+2)=\frac{4}{5}x+4

\frac{4x}{5}+4=\frac{4}{5}x+4

True.

Option (3).

2(\frac{2}{5}x+4)=\frac{4}{5}x+2

\frac{4}{5}x+8=\frac{4}{5}x+2

False.

Option (4).

2(\frac{2}{5}x+4)=2\frac{2}{5}x+8

\frac{4x}{5}+8=\frac{12}{5}x+8

Both the sides are not equal.

False.

7 0
3 years ago
Solve for z. -p(d+z) = -2z+59−p(d+z)=−2z+59
Nikolay [14]

Answer:

               \bold{z=\dfrac{pd+59}{p+2}}

Step-by-step explanation:

-p(d + z) = -2z + 59

-pd - pz = -2z + 59

    +pd           +pd

-pz  =  pd - 2z + 59

+2z      +2z  

pz + 2z  =  pd + 59

(p + 2)z  =  pd + 59

   ÷(p+2)       ÷(p+2)

\bold{z=\dfrac{pd+59}{p+2}}

3 0
3 years ago
Equivalent fraction of 8 1/3
Advocard [28]
The equivalent fraction to 8 1/3 is 25/3
4 0
3 years ago
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