Function Notation
What does f(5) represent?
The value of the function f when x = 5
Evaluate f(2)
f(x) = x + 4
6
If f(x) = x and g(x) = 2x,
find (f + g)(x)
3x
If f(x) = x + 2 and g(x) = x,
find (f – g)(x)
2
In the expression f(3) = 12, what is the input and what is the output?
Input: 3, Output: 12
Evaluate g(-2)
g(x) = 3x - 1
-7
If f(x) = x² and g(x) = 5x,
write (f + g)(x)
x² + 5x
If f(x) = x² and g(x) = 2x,
write (f – g)(x)
x² – 2x
Rewrite the equation y = 3x + 2 in function notation.
f(x) = 3x + 2
Evaluate h(5)
h(x) = x² + 1
26
If f(x) = 2x + 3 and g(x) = x – 5,
what's (f + g)(x).
3x - 2
If f(x) = 8x + 2 and g(x) = 2x - 8
find (f – g)(x)
6x + 10
If f(x) = 3x + 1, write the notation for “the function evaluated at 10" or x = 10
f(10)
Evaluate f(a)
f(x) = 12x + 23
12a + 23
If f(x) = 4x - 7 and g(x) = 6x + 5,
what's (f + g)(x).
10x - 2
f(x) = 4x – 7 and g(x) = –x + 5
find (f – g)(x)
5x - 12
The function shows k(√5) = 20.
Identify the input and output
Input: √5, Output: 20
k(x) = x² – 4x + 7, find k(3).
4
If h(x) = -3x + 9 and k(x) = x² + x - 2,
what's (h + k)(x).
x² - 2x + 7
If f(x) = x² - 7x + 4 and g(x) = 2x + 2 ,
find (f – g)(x)
x² - 9x + 2