Linear Input Output Function

Linear input output functions is nothing but linear equations in terms of  functions. The expression deals with linear equation of a particular function. Function notation will look like f(x), p(x) form. Linear function are expressed as f(x) = ax+b. This is how the linear function be displayed with the input value.  We need to find the output linear function.

Example:

f(3)  = 3x+4 it is the linear equation in the form of ax+b. The input function is given as 3, we need to find the output linear function.

Problems in Linear Input Output Function:

Example 1:

Simplifying the linear input output function of f(x) = 3x+12. The input function is f(4)

Solution:

In the given equation substitute the input value,

f(x) = 3x+12 the linear input function is 4

f(4) = 3 * 4 + 12. here multiply the 3 * 4 is 12 and add.

f(4) = 12+12

f(4) = 24

The linear output function is 24.

 Example 2:

Simplifying the linear input output function of f(x) = 4x+20. The input function is f(5)

Solution:

In the given equation substitute the input value,

f(x) = 4x+20 the linear input function is 5

f(5) = 4*5+20. here multiply the 4*5 is 20 and add.

f(5) = 20+20

f(5) = 40

The linear output function is 40.

Problems in Linear Input Output Function:

Example 4:

Simplifying the linear input output function of f(x) = 13x+22. The input function is f(4)

Solution:

In the given equation substitute the input value,

f(x) = 13x+22 the linear input function is 4

f(4) = 13*4+22. here multiply the 13*4 is 52and add.

f(4) = 52+22

f(4) = 74

The linear output function is 74.

Example 4:

Simplifying the linear input output function of f(x) = 4x+5. The input function is f(5)

Solution:

In the given equation substitute the input value,

f(x) = 4x+5 the linear input function is 5

f(5) = 4*5+5. here multiply the 4*5 is 20 and add.

f(5) = 20+5

f(5) = 25

The linear output function is 25.