Answer:
x ∈ (-∞ , -2) ∪ (1, 3)
Step-by-step explanation:
The expression is already factored. Note that for the polynomial that appears in the numerator
there are 2 roots:

For the polynomial that appears in the denominator there is 1 root:

Note that
does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.
With these three roots we do the study of signs to find out when
Observe the attached image
Note that:
when
when 
when 
Finally, we have the solution:
x ∈ (-∞ , -2) ∪ (1, 3)
Answer:
last one
a = 30 + 5
a - 5 = 30
Step-by-step explanation:
here is your answer
Answer:
24 inches
Step-by-step explanation:
Plug in 96 for p in the equation
96 = 4s
Divide both sides by 4 to isolate the variable
24 = s
F(x) = <span>3x/(8+x) = y
f^(-1) is the inverse function. As its name suggests if f(x) = y that we need to find a g(x) such that g(y) = x
In order to find f^(-1) switch x with y and solve for y
3y/(8+y) = x
x(8+y) = 3y
8x+xy = 3y
8x=3y-xy
8x = y(3-x)
y = 8x/(3-x)
f^(-1) = y = </span>8x/(3-x)
Answer: B) y = -x^4
Work: I just plugged in the numbers into all the equations listed, and B worked correctly for them all, thus that's the correct answer.
<em>I hope this helps, and Happy Holidays. :)</em>