Functions and Their Inverses

𝑓(𝑥) = 3𝑥^2 − 𝑥 − 1 𝑎𝑛𝑑 𝑔(𝑥) = 2 − 5x

(f+g)(-1)

• -17

• 10

• 144

• 0.34

𝑓(𝑥) = 3𝑥^2 − 𝑥 − 1 𝑎𝑛𝑑 𝑔(𝑥) = 2 − 5x

(g-f)(2)

• 144

• 10

• -17

• 0.34

𝑗(𝑥) = 𝑥 2 + 5 and 𝑘(𝑥) = 4x

(j+k)(2)

• 17

• 50

• 10

• 600

(x^2-4x-12)-(x-2)

(x^2-4x-12)(x+2)

x^2-4x-12/x+2

the equation is a example of:

• (f+g)(x)

• (f-g)(x)

• f/g(x)

𝑓(𝑥) = 𝑥^2 − 5𝑥 − 1

and

𝑔(𝑥) = 3 − 2𝑥

(𝑓 + 𝑔)(𝑥)

• 𝑥^2 − 7𝑥 + 2

• −𝑥^2 + 3𝑥 + 4

• 4x^2

𝑓(𝑥) = 𝑥^2 − 6𝑥

and

𝑔(𝑥) = 3 − 2𝑥

𝑓(𝑥) ∙ 𝑓(𝑥)

• 2x-3

• 2x^3-15

• 𝑥^4 − 12𝑥^3 + 36𝑥^2

• x^4+12x^3-36x^2

𝑓(𝑥) = 𝑥^2 − 5𝑥 − 1 and 𝑔(𝑥) = 3 − 2𝑥

𝑔(𝑥) ∙ 𝑔(𝑥)

• 4x^2-12x+9

• 9 - 12x - 4x^2
• 9 + 12x + 4x^2
• 9 - 12x + 4x^3

𝑓(𝑥) = 4𝑥^2 − 6𝑥

and

𝑔(𝑥) = 2𝑥^2

𝑓(𝑥)/𝑔(𝑥)

• 4x - 6
• 2x - 3
• 2x^2 - 3
• 1x-3/x