Respuesta :
Answer:
f(-4)=60 and g(-6)=17
Step-by-step explanation:
f(x)
Plug in -4 for x-values
- 3(-4)^2 - 3(-4)
Square -4
- 3(16) - 3(-4)
Multiply 3 by 16 and -3 by -4 then solve
- 48+12=60
Simplify
- f(-4)=60
g(x)
Plug in -6 for x
- -3(-6)-1
Multiply -3 by -6
- -3(-6)=18
Subtract 1
- 18-1=17
Simplify
- g(-6)=17
For this case we have the following functions:
[tex]f (x) = 3x ^ 2-3x\\g (x) = 3x-1[/tex]
We must find the value of the function [tex]f (x)[/tex] when [tex]x = -4[/tex], then:
[tex]f (-4) = 3 (-4) ^ 2-3 (-4)\\f (-4) = 3 * 16 12\\f (-4) = 48 12\\f (-4) = 60[/tex]
We must find the value of the function g (x) when [tex]x = -6[/tex], then:
[tex]g (-6) = 3 (-6) -1\\g (-6) = - 18-1\\g (-6) = - 19[/tex]
Answer:
[tex]f (-4) = 60\\g (-6) = - 19[/tex]