If fx -x-3x-2 find c such that fc-0

f(x)=x 3x 2 f(c)=0 c 3c 2=0 c 3=0 c=3 ...

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Properties of Composite Function

If fx =x-3x...

Question

If $f (x) = \frac{x - 3}{x - 2}$ find $c$ such that $f (c) = 0$

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If f(x) is a polynomial such that f(a) = f( $\frac{b}{2}$ ) = f( $\frac{c}{3}$ ) = 0, then which of the following expressions is a factor of f(x)

Let f be a function defined on an interval I and there exists a point “c” in I such that f(c) $\leq$ f(x) for all x $\in$ I , then

x = a : x = b : y = f (x)

y = f (c), c ϵ (a, b)

c = \frac{a + b}{2} .

f (x) = \frac{x^{3}}{3} - x^{2} + a,

x = 0

x = 2

f : R \to R

f (x) = \frac{1}{e^{x} + 2 e^{- x}}

f (c) = \frac{1}{3}

c \in

0 < f (x) \leq \frac{1}{2 \sqrt{2}}

x \in R

[a, b]

f (a) f (b) < 0,

f (x) = 0

[a, b]

x \in R

f (a) < x < f (b)

c \in (a, b)

x = f (c)

f (x) = x, x \neq 0

f (0) = 1

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