Given :
Liam has a bag of b beads.
He gives 20 beads to his sister.
He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.
To Find :
Write an expression that represents the number of beads on each necklace.
Solution :
Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).
Number of beads on each necklace using all of the remaining beads is :
Hence, this is the required solution.
The function whose inverse is also a function is:
We know that inverse of a function is also a function if it is one-to-one function.
i.e. the graph of the function satisfies the horizontal line test.
i.e. there is a unique image corresponding to each element.
1)
The function G(x) is a straight increasing line( since the slope is positive)
Hence, the function is 1-1 as it is a strictly increasing function.
Hence, the inverse of G(x) is again a function.
2)
We know that a quadratic function is never 1-1.
( Since, it repeats it's value for every negative and positive value of a number )
Hence, the inverse of K(x) is not a function.
3)
Again we know that the modulus function is not a 1-1 function.
Hence, it's inverse is also not a function.
4)
As we know that a constant function is not 1-1.
Since it takes same value for each x.
Hence, the inverse of w(x) is not a function.