given function f(x)=x2 -6x+8, find x, if f(x)=3?
given function f(x)=x2 -6x+8, find x, if f(x)=3?
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f(x)= 2x -6x +8
f(3)= (3)(2) -6(3) +8
f(3)= 6 -18 +8
f(x)= -4
You just plug in 3 everywhere it says “x”. You don’t need to do anything with the left side of the equation.
By the way, the first guy is wrong. Sorry to burst his bubble…
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f of x = x^2-6x+8 (the upward carrot is the correct way to display an exponent) if f of x is 3 (f of x is another way to say “y” in quadratic equations)
3=x^2-6x+8
subtract 3
0= x^2 – 6x + 5
find master product (last number multipled, middle added)
0 = (x-1)(x-5) [(-1)(-5)= 5 and -1 + -5 = -6]
solve for each eqation
x-1 = 0 then x = 1
x -5 = 0 then x= 5
solution set is x=1,5
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4 years ago
First you’re arranged to make the equation equivalent 0. x^2 – 6x + 8 = 0 then you could desire to component by utilising way of the decomposition technique. to objective this you’re arranged to locate the climate of 8 that upload as much as -6. they’re -2 and -4. Now you’re arranged to place in writing 2 units of brackets with an x in each and each physique and -2 in one and -4 contained in diverse. (x – 2)(x – 4) = 0 Now take each and each component and scientific preserve the variable. x – 2 = 0 x = 2 x – 4 = 0 x = 4 consequently the innovations are 2 and four.
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If f[x] = 3, then x^2-6x+8 = 3. Navy b is right
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plug in 3 for f(x)
3 = x^2 – 6x + 8
0 = x^2 – 6x + 5
0 = (x – 1) (x – 5)
x = 1 or 5
EDIT:
no, no, no….! the question says find “x” given that f(x) = 3
so you need to plug 3 for f(x)
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