Given:
The table of values for the function f(x).
To find:
The values and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function . So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and
.
<em><u>The expressions that are polynomial are:</u></em>
6 + w
z + 1
<em><u>Solution:</u></em>
A polynomial is an expression with variables and coefficients with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
1) 6 + w
Here "w" is a variable, hence it is a polynomial expression
This is a polynomial, since it has variables and coefficients and variable with non negative exponent
3) z + 1
This is also a polynomial with variable "z" and has addition operation
Since it has root so it is not a polynomial