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Let the function f be defined by f(x) = x2 - 7x + 10 and f(t + 1) = 0, what is one possible value of t?

Please explain. I don't understand why you can substitute in "t+1" for the "x" in the other equation.

2007-10-12 16:50:33 · 3 answers · asked by Snipe_AT 2 in Science & Mathematics Mathematics

x^2 - 7x + 10

Sorry didn't copy right.

2007-10-12 16:57:46 · update #1

I don't fully understand "god". What if the other equation said.

f(t+1) = 2?

2007-10-12 16:59:20 · update #2

3 answers

You can substitute anything you want for the x in the function. That is the point of a function.

f(x)=x^2-7x+10
f(t+1)=(t+1)^2-7(t+1)+10
f(a)=a^2-7a+10
f(6)=6^2-7*6+10

etc.

2007-10-12 16:59:15 · answer #1 · answered by Amy W 6 · 0 0

x^2 - 7x + 10 = (x-2)(x-5)
f(x) = 0 when x = 2 or 5

so t -1 = 2 or t - 1 = 5
t = 3 or 6

2007-10-12 16:55:35 · answer #2 · answered by norman 7 · 1 0

x is a variable so there is no reason why you can't substitute (t+1) for x. If x can be any number or value, then the value t+1 is not restricted.

2007-10-12 16:55:51 · answer #3 · answered by god 2 · 0 0

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