Asked by Vicki
f(x) = -2x^2 + 5x -1
Find f(x) - f(a)/x-a
Find f(x) - f(a)/x-a
Answers
Answered by
Damon
I bet you mean
[ f(x) - f(a) ] / (x-a)
Parentheses are VITAL !
f(a) = -2 a^2 + 5 a - 1
so
[ -2(x^2-a^2) +5(x-a) -1+1 ]/(x-a)
= [-2(x-a)(x+a) + 5(x-a) ]/(x-a)
= -2(x+a)+5
Note for future calculus purposes that the limit of this as a approaches a
this becomes
-4 x + 5
[ f(x) - f(a) ] / (x-a)
Parentheses are VITAL !
f(a) = -2 a^2 + 5 a - 1
so
[ -2(x^2-a^2) +5(x-a) -1+1 ]/(x-a)
= [-2(x-a)(x+a) + 5(x-a) ]/(x-a)
= -2(x+a)+5
Note for future calculus purposes that the limit of this as a approaches a
this becomes
-4 x + 5
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