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Identity (x+y)(x-y)

If fx=x2-5 x+...

Question

If f(x) = x² - 5x + 7, evaluate f(2) - f(-1) + f(1/3).

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Solution

F(x)=x²-5x+7
f(2)=2²-5.2+7=4-10+7=11-10=1
f(-1)=(-1)²-5.(-1)+7=1+5+7=13
f(1/3)=(1/3)²-5(1/3)+7=1/9-5/3+7=49/9
∴, f(2)-f(-1)+f(1/3)
=1-13+49/9
= (-108 +49)/9
= -59/9

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Similar questions

f (x) = x^{2} - 4 x + 3

, then find the value of

f (2) - f (- 1) + f (\frac{1}{2})

f (x) = x^{2} - 4 x + 3

, find value of F(2) - F(1)

f (x) = 2 x - 1

x > 1

= x^{2} + 1

- 1 \leq x \leq 1

\frac{f (1) + f (3) + f (0)}{f (2) + f (- 1) + f (\frac{1}{2})}

f (x) = x^{2} + 1, x \leq 0

= 2 x - 1, 0 < x < 5

= 4 x + 3, x \geq 5

\frac{f (- 3) + f (2) + f (5)}{f (1)} =

f (x) = \frac{9^{x}}{9^{x} + 3}

f (x) + f (1 - x) = 1

, and hence evaluate

f (\frac{1}{1996}) + f (\frac{2}{1996}) + f (\frac{3}{1996}) + . . . + f (\frac{1995}{1996})

.

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