The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
Step-by-step explanation:
A symptote is a line that a curve approaches but never touches
- The vertical asymptote of a logarithmic function is at the zero of the argument
- f(x) = log(argument) has vertical aymptotes at argument = 0
∵ f(x) = 3 ㏒(x + 3)
∵ The argument is (x + 3)
- Equate the argument by zero
∵ x + 3 = 0
- Subtract 3 from both sides
∴ x = -3
- The vertical asymptote of a logarithmic function is at the zero
of the argument
∴ The vertical asympotote of f(x) is x = -3
The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
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Answer:
Step-by-step explanation:
For equating the equations, you get
x2 + kx - 3x + 4 = 0 eq1
Setting the derivative of f(x) equal to 3 yields
f'(x) = 3
2x + k = 3 eq2
Now we substitute the value of k from eq2 into eq1.
x2 + x(3 - 2x) - 3x + 4 = 0
Solve for x from this equation. Then plug in the value of x into eq2 to solve for k
Answer:
1300 ft
Step-by-step explanation:
to calculate volume you multiple LengthxHeightxWidth
20 x 13 x 5 = 1300
Answer:
18 combinations
Step-by-step explanation:
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