Which equation is equivalent to (one-third) Superscript x Baseline = 27 Superscript x + 2? 3 Superscript x Baseline = 3 Superscr
2 answers:
Answer:
Option D : 3 Superscript negative x Baseline = 3 Superscript 3 x + 6
Step-by-step explanation:
Let us first convert all the equations in Mathematical form for readability.
The question equation will become:
----------------- (1)
And the option equations will be:
A.
B.
C.
D.
Now, let's solve the question equation. Simplifying equation (1), we get
Hence, option D is correct.
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Cosecant (csc) is defined as the reciprocal of sine, therefore:
.
1/sinx will be undefined when the denominator sinx = 0.
Recalling the unit circle, sinx = 0 at x = 0 ± πn, where n is an integer.
Since the domain x is restricted from (0, 2π), we only consider the values x = 0, x = π, and x = 2π.
Therefore in the domain 0 ≤ x ≤ 2π, y = csc(x) will be undefined at x = 0, x = π, and x = 2π.
1/sinx will be undefined when the denominator sinx = 0.
Recalling the unit circle, sinx = 0 at x = 0 ± πn, where n is an integer.
Since the domain x is restricted from (0, 2π), we only consider the values x = 0, x = π, and x = 2π.
Therefore in the domain 0 ≤ x ≤ 2π, y = csc(x) will be undefined at x = 0, x = π, and x = 2π.