So I get all the way through my homework and I don't understand the last question.
For the function f(x) = 1/2x = 2, find the value of x for which f(x) = x.
I'm pretty sure it's an easy problem, I just don't understand the question. Thank you.
2007-02-20 16:03:46 · 4 answers · asked by Arnold 4 in Science & Mathematics ➔ Mathematics
Yup it's a very easy question. Sometimes we just make things more complicated than they should be.
Pretty much what the question is saying is when does f(x)=x when f(x)=2? In other words, when does 1/2x=2? Well as long as you've passed your preliminary algebra that should be pretty easy to do.
Just times each side by two or divide each side by 1/2 (same effect) and you'll get x isolated.
Your final answer is x=4.
2007-02-20 16:12:31 · answer #1 · answered by Ryan HG 2 · 0⤊ 0⤋
x=8
2007-02-21 00:07:06 · answer #2 · answered by eriq p 4 · 0⤊ 0⤋
f(x) = (1/2)x + 2
That's what I'm going to assume
To find the values of x for which f(x) = x, just equate them and solve for x.
f(x) = x
(1/2)x + 2 = x
Move everything with an x to the left hand side, and everything else,
(1/2)x - x = -2
x(1/2 - 1) = -2
x(1/2 - 2/2) = -2
x(-1/2) = -2
Multiplying both sides by -2, we get
x = 4
2007-02-21 00:07:48 · answer #3 · answered by Puggy 7 · 0⤊ 0⤋
if the equation is 1/(2x) = 2
x= 1/4
if the equation is (1/2)x = 2
x= 8
since you probably copied the equation straight out of the book, I'd go with the first equation.
2007-02-21 00:19:31 · answer #4 · answered by Brian F 4 · 0⤊ 0⤋