Warm up Operations with Functions

 $m(x)=x^2+3x-7$  

 $g(x)=3x^2+5+2x$  
Find: g(x) - m(x)

•  $4x^2+5x-2$  

•  $2x^2+x-12$  

•  $2x^2-x+12$  

•  $2x^2+x-2$  

f(x) = 3x + 10

g(x) = x - 2

Find f ∘ g(5))

• 19

• 23

• -10

• None of these.

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

• 39
• -27
• -23
• -19

 $f\left(x\right)=3x^2-4$  and  $g\left(x\right)=3x+4$  Find:  $\left(f\cdot g\right)\left(x\right)$  

•  $9x^3+12x^2-12x-16$  

•  $9x^2+9x$  

•  $4x^4+16x^2$  

•  $-9x^3+12x^2+12x-16$  

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15