Which of the following shows the situation below in function notation??
2 answers:
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Given that:
The function to represent the growth of Neveah hair is
where, x represents the number of months since her last hair cut.
To find:
The inverse of function and time when her hair will have grown 6 inches.
Solution:
We have,
Put f(x)=y.
Interchange x and y.
Isolate y.
Put .
So, the required inverse function is . It represents the number of months to grow her hair x inches.
She can predict when her hair will have grown 6 inches by putting x=6 in the inverse function.
Put x=6 in the inverse function.
Therefore, growth of her hair is 6 inches in 7 months.
<h3><u>Question</u> :-</h3>
Is (x-2) is a factor of x³-3x²-x +7 –
- Yes
- No ☑
We are given –
- Polynomial function, P(x) = x³-3x²-x +7
- In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.
- Let's find value of x!
Now Put x = 2 into the polynomial –
- Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of x³-3x²-x +7.
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