x = - 1
given
= x + 3
square both sides
1 - 3x = (x + 3 )² ( expand right side using FOIL )
1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )
0 = x² + 9x + 8
0 = ( x + 1)(x + 8)
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = -1
x + 8 = 0 ⇒ x = - 8
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = - 1 :
= 2 and - 1 + 3 = 2 ← true
x = - 8 :
= 5 and - 8 + 3 = -5 ← false
thus the only solution is x = - 1
Answer:
A function is a relation in which no two ordered pairs have the same first element. A function associates each element in its domain with one and only one element in its range. Solution: a) A = {(1, 2), (2, 3), (3, 4), (4, 5)} is a function because all the first elements are different.
Step-by-step explanation:
Answer: (a+b)n= N k=0 nCK*a n-k. *bk
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
We have f(x) function as below:
![f(x)=(2x-3)^3](https://tex.z-dn.net/?f=f%28x%29%3D%282x-3%29%5E3)
and the converted function g(x) is as mentioned below:
![g(x)=(-2x+3)^3](https://tex.z-dn.net/?f=g%28x%29%3D%28-2x%2B3%29%5E3)
We can observe that:
f(x)=-g(x)
Therefore it can be said that this function reflected horizontally.
Note: please check the plot attached.