Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Answer: Second option
Step-by-step explanation:
You need to make the multiplication of the function
and the function
. Then:

You need to apply the Distributive property:

Therefore, the domain will be all the number that make the denominator equal to zero.
Then, make the denominator equal to zero and solve for x:

Therefore, the domain is: All real values of x except 
<span>y = kx
x = y/k if y = 0.33 a</span><span>nd k = 1/4
x = 0.33/0.25
x = 1.32
answer
</span><span>D) 1.32</span>
Answer:
(0,8)
Step-by-step explanation:
First, we must arrange this equation into slope-intercept form, or y=mx+b form.
Equation: y-8=2x
Add 8 to both sides: y=2x+8
Now that the equation is in slope-intercept form, it is easy to find the y-intercept, as it is just the b-value.
In this case, the b-value is 8, so the y-intercept is (0,8).
Let me know if this helps!
It would be D
Rational functions are fractions where numerator and denominator are polynomials.