Whats that answer..help!

Question

1. This is the problem and I have no idea. Any help would be greatly appreciated.

F(6) if f(x) = 2x -1

Answer 1

Answer 2

In function notation, f(6) means you would evaluate the function for the input value "6"

f(6) = 2(6) - 1 (substitute "6" for "x" and solve)

f(6) = 11 (for the input of "6" the output of the function is "11")

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If solving for F(6) (with a capital F), you would find the integral of your function first, then substitute in "6" for x.

f(x) = 2x - 1

Integral of f(x) = F(x) = x² - x + C (where C is some constant)

Therefore,

F(6) = (6)² - (6) +C = 36 - 6 + C (substitute "6" in for "x")

F(6) = 30 + C

Answer 3

f(6) = 2(6)-1 = 11

F(6)= ?

IF F(x) means the integral of f(x) which seems likely, then

F(x) = integral of 2x -1 = x^2 -x +c

F(6) = 36 -6 + c = 30 + c, where c is an unknown constant

F(6) = 30+c