If f(x)=x^2 +5 and g(x)=5x+4, what is the [fg](6)

Hello from MrBillDoesMath!

1161

Discussion:

g(6) = 5(6) =4 = 30 + 4 = 34

so

f(g(6) = f (34) = 34^2 + 5 = 1156 + 5 = 1161

Regards,  

MrB

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)