Operations on Functions

𝑔(𝑥) = 2𝑥 − 4 and ℎ(𝑥) = 2𝑥 − 7 Find (𝑔 + ℎ)(3).

• -7

• 1

• -1

• 8

𝑓(𝑥) = 𝑥 − 8 and 𝑔(𝑥) = 𝑥 + 3, Find 𝑓(𝑥) • 𝑔(𝑥)

• 𝑥² + 24

• 𝑥² − 5𝑥 + 24

• 𝑥² − 5𝑥 − 24

• 𝑥² + 5𝑥 + 24

If 𝑝(𝑥) = 𝑥 − 1 and 𝑞(𝑥) = 𝑥 − 1, what is 𝑝(𝑥) • 𝑞(𝑥)

• 𝑥² + 1

• 𝑥² + 2𝑥 − 1

• 𝑥² − 2𝑥 + 1

• 𝑥² − 1

The following are notations for composite functions EXCEPT,

• ℎ(𝑝(𝑥))

• 𝑓(𝑥)𝑔(𝑥)

• (𝑠 ∘ 𝑡)(𝑥)

• 𝑓(𝑔(𝑥))

𝑓(𝑥) = 4𝑥 + 2 𝑎𝑛𝑑 𝑔(𝑥) = 3𝑥 − 1, 𝑓𝑖𝑛𝑑 (𝑓 − 𝑔)(4).

• 0

• -9

• 7

• -8

. Given: 𝑓(𝑎) = 2𝑎 + 1 and 𝑔(𝑎) = 3𝑎 − 3. Find 𝑓(𝑎) + 𝑔(𝑎)

• 5𝑎 − 2

• −5𝑎 + 2

• −2𝑎 + 1

• −6𝑎 − 1

 $\ if\ \ p=\frac{\text{x + 3}}{\text{x - 1}},\ find\ p\left(5\right)$  

• 2

• 1/2

• -2

• -1/2

 $\ \ \ \ find\ \frac{\text{m}}{\text{n}}\left(2\right)\$  

if  𝑚(𝑥) = 3𝑥 − 5 ;  $n\left(x\right)=x^2-2x+1$  

• 1

• -1

• 2

• -2

if f(x) = x-1 and g(x) =5x - 2 , find (f + g)(x)

• 6x + 2

• 6x -2

• 6x +3

• 6x -3

if f(x) = x - 1 and g(x) = 5x - 2, then find (f - g)( x )

• 4x + 1

• -4x - 1

• -4x + 1

• 4x -1