Asked by Penny
This is really confusing to me. I'm not sure on how to do this or even how to get an answer? Can someone perhaps help me? Thanks! :)
f(x)=x^2-25/x-5 if x is less than or equal to -1; 2x-3 if x>-1.
f(4)=
f(-1)=
f(x)=x^2-25/x-5 if x is less than or equal to -1; 2x-3 if x>-1.
f(4)=
f(-1)=
Answers
Answered by
Steve
Do a little simplification first.
As long as x≠5,
(x^2-25)/(x-5) = (x-5)(x+5)/(x-5) = x+5
So, what you have is, f(x) =
x+5 if x <= -1
2x-3 if x > -1
So, since 4 > -1, f(4) = 8-3 = 5
And, since -1 <= -1, f(-1) = -1+5 = 4
As long as x≠5,
(x^2-25)/(x-5) = (x-5)(x+5)/(x-5) = x+5
So, what you have is, f(x) =
x+5 if x <= -1
2x-3 if x > -1
So, since 4 > -1, f(4) = 8-3 = 5
And, since -1 <= -1, f(-1) = -1+5 = 4
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