g(x) = x - 3 = 0
g(x) = x = 3
f(x) = 2x^3 + x - 4
f(3) = 2(3)^3 + 3 - 4
f(3) = 2(27) - 1
f(3) = 54 - 1
f(3) = 53
The remainder when f(x) is divided by x - 3 is <u>53</u>.
Answer:
625/2401
Step-by-step explanation:
5/7 ^ 4 = 5 * 5 * 5 * 5 / 7*7*7*7 = 625/2401
Answer: f⁻¹(x)=(x-7)²
Step-by-step explanation:
To find the inverse function, we want to switch the y with the x and vice versa. Then we solve for y.
[switch y with x and x with y]
[subtract both sides by 7]
[square both sides]

Now, we know that f⁻¹(x)=(x-7)².
Answer:
The conclusion is Mr. Keene has sufficient vitamin K.
Step-by-step explanation:
Consider the provided statement.
The law of detachment involves two quantities, one is hypothesis and another is conclusion.
In the provided statement hypotheses and conclusion is:
Hypotheses (P): Person has insufficient vitamin K
Conclusion (Q): There will be a prothrombin deficiency.
Here if a person has insufficient vitamin K that means there must be prothrombin deficiency, but if a person has prothrombin deficiency we can't say anything.
Now it is given that Mr. Keene does not have a prothrombin deficiency.
That means he has sufficient vitamin K
Hence, the conclusion is Mr. Keene has sufficient vitamin K.
The required diagram is shown in figure.