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Chapter 5: Q. 5 (page 256)

True or False $f (g (x)) = f (x) . g (x)$ .

Short Answer

Expert verified

$f (g (x)) = f (x) . g (x)$ is false statement.

Step by step solution

Step 1. Given Information.

The given statement is $f (g (x)) = f (x) . g (x)$ .

Step 2. Definition of composite functions

Given two functions f and g, the composite function, denoted by $f \circ g$ (read as “f composed with g”), is defined by $(f \circ g) (x) = f (g (x))$ .

So, $f (g (x)) = f (x) . g (x)$ is false.

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True or Falsefgx=fx.gx.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Definition of composite functions

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True or False $f (g (x)) = f (x) . g (x)$ .