What is the difference between f(-x) and -f(x)?
2007-01-17 08:41:35 · 4 answers · asked by ChemGirl 2 in Science & Mathematics ➔ Mathematics
When solving for f(-x), you replace every occurrence of x in the function with -x.
When solving for -f(x), you multiply the entire function by -1.
Example:
f(x) = x^3 - 2x^2 + 6x - 12
Solving for f(-x),
f(-x) = [-x]^3 - 2[-x]^2 + 6[-x] - 12
And solving for -f(x),
-f(x) = - (x^3 - 2x^2 + 6x - 12)
2007-01-17 08:49:27 · answer #1 · answered by Puggy 7 · 0⤊ 0⤋
If you take a function f(x) and plug in -x for all the values, you get f(-x). This is equivalent to flipping the function across the y-axis.
If you take a function f(x) and invert all the values, you get -f(x). This is equivalent to flipping the function across the x-axis.
2007-01-17 08:51:49 · answer #2 · answered by Puzzling 7 · 1⤊ 0⤋
the whole function is negative in -f(x)
in f(-x) only x is negative
2007-01-17 08:45:55 · answer #3 · answered by LazyDaisy 3 · 0⤊ 1⤋
to the best of my knowledge..there is no difference..as the result is same for both equations..
2007-01-17 08:50:02 · answer #4 · answered by sam 4 · 0⤊ 2⤋