Given that f(x)=12x^2−800x+1,000 and g(x)=6,500x+470 , find the value of f(5)+g(5) .(1 point)
To find the value of f(5) and g(5), we substitute 5 into the respective functions:
f(5) = 12(5)^2 - 800(5) + 1,000
f(5) = 12(25) - 4000 + 1,000
f(5) = 300 - 4000 + 1,000
f(5) = -2700
g(5) = 6,500(5) + 470
g(5) = 32,500 + 470
g(5) = 32,970
Now, we add the two values together:
f(5) + g(5) = -2700 + 32,970
f(5) + g(5) = 30,270
Therefore, the value of f(5) + g(5) is 30,270.