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Differentiability

If fx=x2 and ...

Question

If f(x) = x² and g(x) = x are two functions from R to R then
(fg)(2) is

A

2

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B

8

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C

1

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D

4

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Solution

The correct option is B
8

fg(2 )= f(2).g(2) = 2².2 = 8

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Similar questions

h (x) = \frac{f (x)}{g (x)}

f (x) = x^{2} - 2 x

g (x) = x^{3} - 3 x^{2} + 2 x,

then the domain of

h (x)

f (x) =

\sqrt{x}

g (x) =

\sqrt{x^{2} + 4}

, calculate the value of

f (g (2))

.

f (x) = x^{2} + \frac{1}{x^{2}} and g (x) = x - \frac{1}{x}, x ϵ R - {- 1, 0, 1}, and h (x) = \frac{f (x)}{g (x)}

then the local minimum value of

h (x)

Q. Assertion (A) :

f (x) = \frac{x^{2} - 4}{x - 2}

g (x) = x + 2

are equal.
Reason (R): Two functions

f

g

are said to be equal if their domains and ranges are equal and

f (x) = g (x) \forall x \in

f (x) = 5 x + 3

g (x) = x^{2} - 1

f (g (2)) =

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