5a)++Function+operations+using+polynomials

The goal of this section is to be able to perform operations with the use of functions. Operations using functions can be done if you let //f// and //g// be any two functions. Using any of the four basic operations you can find the new function //h//. The domain of //h// consists of the x-values that are in the domain of //f// and //g//. The domain of a function being divided can not include the denominator equaling 0, set the denominator equal to 0 and solve for //x//. Compositions of a function //g// with a function //f// is written in the form //h(x)=g(f(x)).// The domain of //h// is all the sets of x-values that is in the domain of //f// and //f(x)// in the domain of //g//.

=__Examples__=

Addition

**h(x)= f(x) + g(x)**
 * h(x)= 4x + (x + 2)**
 * h(x)=5x + 2**

Subtraction

**h(x)= f(x) - g(x)**
 * h(x)= 4x - (x + 2)**
 * h(x)= 4x - x - 2**
 * h(x)= 3x -2**

Multiplication

**h(x)= f(x) · g(x)**
 * h(x)= 4x · (x + 2)**
 * h(x)= 4x2 + 8x**

Division

**h(x)= f(x) / g(x)**
 * h(x)= 4x / x + 2

__Composition__

**h(x)= f(g(x))** ** **h(x)= 4(x+2) h(x)= 4x+8**

Helpful links- for more help [|5a) Function operations using polynomials] [|5a) Adding and Subtracting] and [|Multiplication]