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Properties of Composite Function

A function p ...

Question

A function p satisfies $p (5) = 3$ and $p (3) = 0$ , and a function $r$ satisfies $r (3) = - 2$ and $r (0) = 5$ . What is the value of $r (p (3))$ ?

A

5

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B

0

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C

2

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D

3

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Solution

The correct option is A 5
$r (p (3))$ = ?
p(3) = 0
r(0) = 5.

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Similar questions

f

f (2) = 3

f (3) = 5

g

g (3) = 2

g (5) = 6

. What is the value of

f (g (3))

?

f (x)

be a continuous function for all real values of

x

(x^{2} + x (f (x) - 2) + 2 \sqrt{3} - 3 - \sqrt{3} f (x)) = 0 \forall x \in R

, then the value of

f (\sqrt{3})

p (x)

be a polynomial satisfying

p (x^{3}) = x^{2} p (x^{2})

p (0) = - 3,

p^{'} (\frac{1}{3}) = 0,

p (1) = 2 .

Then the value of

p (3)

f

be a differentiable function on

R

f (x + y) = f (x) + f (y) \forall x, y ϵ R

f^{'} (0) = 2

, then the value of

f (4)

Consider a continuous function and differentiable function

^{'} f^{'}

satisfies the functional equation

f (x) + f (y) = f (x + y + x y) + x y

x, y > - 1

f^{'} (0) = 0

\frac{1}{f^{''} (2)}

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