Question

College Algebra functions?

Answer 1

A function is a mathematical concept that describes a relationship between two variables. In college algebra, you will work with various types of functions, such as linear functions, quadratic functions, exponential functions, and logarithmic functions.

Step-by-step explanation:

A function is a mathematical concept that describes a relationship between two variables. It can be represented by an equation or a rule that assigns each input value (x) to a unique output value (y). In college algebra, you will work with various types of functions, such as linear functions, quadratic functions, exponential functions, and logarithmic functions.

Answer 2

See below.

Step-by-step explanation:

For the first one:

`f(x)=(4x+3)/(5x+2)`

`f((1)/(x))= (4((1)/(x))+3)/(5((1)/(x))+2 )`

First, multiply both top and bottom by
`x`.

Thus:

`((4((1)/(x))+3)/(5((1)/(x))+2 ) )\cdot (x)/(x)`
`=(4+3x)/(5+2x)`

It cannot be simplified further.

For the second one:

`g(x)=√(x^2-8x)`

`g(x-2)=√((x-2)^2-8(x-2))`

`√((x^2-4x+4)-8x+16)`

`√(x^2-12x+20)`

And that cannot be simplified further.