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.