Express the function notation

Question

Express the rule in function notation. (For example, the rule "square, then subtract 5" is expressed as the function f(x) = x² − 5.)

Add 4, take the square root, then divide by 2.

f(x) = 

 

Answer 1

Let "x" be your "input" (by the way, we know "x" is the input because your function is f(x) which means function "f" written in the variable "x")

So adding "4" to the input means "x + 4"

Taking the square root means:

Then dividing that by 2 means:

Answer 2

add 4: x+4

take the square root: sqr(x+4)

divide by 2: [sqr(x+4)]/2 or (1/2)sqr(x+4)

f(x) = (1/2)sqr(x+4)