Functions, Function Notation, Composite Functions

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32
• 8x² - 32x
• 8x - 8
• 6x - 8

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

• 7
• -2
• -9
• -10

Given g(x) = 3/4 x + 10, find g(-12). 

• g(-12) = 19
• g(-12) = 1

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

Is this mapping a function or not a function? 

• Function
• Not a Function 

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Is this graph a function or not a function? 

• Function 
• Not a Function

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4