Given:

Solution:
Complex formula:

Let us simplify one by one.


|3 + 4i| = 5


|3 - 4i| = 5


|-3 + 4i| = 5


|-3 - 4i| = 5
Substitute these in the given expression:


The solution of the expression is 20.
Answer:
y=2x+4
Step-by-step explanation:
Answer:
x = 1/2 and 3/2
Step-by-step explanation:
The given equation is logₓ (8x-3) - logₓ 4 = 2
Then we have to determine the value of x.
logₓ
= 2 [ since log a - log b = log
]
Now
[if
b = c then
= b]
4x² = 8x -3
4x² - 8x + 3 = 0
(2x)² - 2(4x) + (4-4) + 3 = 0
[(2x)² - 2 (4x) + 4 ] - 1 = 0
(2x - 2)² = 1
(2x - 2)² = ± 1 ⇒
2x - 2 = 1 and 2x - 2 = -1
x = 3/2 2x = 1
x = 1/2
Therefore, x = 1/2 and 3/2 are the answers.
4x - 6y = 12...in y = mx + b form, the slope will be in the m position. So lets turn this equation into y = mx + b form.
4x - 6y = 12....subtract 4x from both sides
-6y = -4x + 12...now divide both sides by -6
y = (-4/-6)x + 12/-6
y = 2/3x - 2...y = mx + b.....slope(m) = 2/3 <==
The inverse of the given function is y = x³ + 2
<h3>Finding inverse of a radical function</h3>
Given the radical function below expressed as;
f(x) = ∛x-2
This can be written as;
y = ∛x-2
Replace y with x
x = ∛y-2
Take the cube of both sides
x³ =y - 2
y = x³ + 2
Hence the inverse of the given function is y = x³ + 2
Learn more on inverse of a function here: brainly.com/question/3831584
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