Operations With Functions

Given 
f(x)= 2x² + 5x - 17, find f(-1). 

• f(-1) = -20
• f(-1) = -24

Given h(x)=x²+1, find 5h(x).

• 5h(x)=5x²+5
• 5h(x)=5x²+1
• 5h(x)=26
• 5h(x)=20

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

p(x) = 3x + 4
q(x) = 2x²
Find (p∘q)(x)

• 10x²
• 18x² + 4
• 6x² + 4

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

If f(x) = 3x-1 and g(x) = x²+2,

what is (g∘f)(x) ?

• 3x² +5

• 9x² -6x+3

• 9x² +1

• 9x²+3

When solving f(g(x)) you work in what order?

• Left to right
• Alphabetical
• INSIDE then OUT
• It doesn't matter what you solve first, just pick your favorite letter.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

• 3x²-5

• 3x²-1

• 3x²-4

• 3x²-6

If f(x) = 4x+8 and
g(x) = x+3,
find f(x) * g(x). 

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24