Question

the following are notations for composite functions except​

Answer 1

GIVEN :

The following are notations for composite functions except​

a. h(p(x))

b. f(x)g(x)

c. [tex](s\circ t)(x) [/tex]

d. f(g(x))​

TO FIND :

The wrong notation for composite functions.

SOLUTION :

Given options are

a. h(p(x))

b. f(x)g(x)

c. [tex](s\circ t)(x) [/tex]

d. f(g(x))​

The definition for the composite functions of f and g is given by :

$(f\circ g)(x)=f(g(x))$

From the definition of composite functions the given options

a. h(p(x))  , c. [tex](s\circ t)(x) [/tex]  and d. f(g(x))​ are the notations of composite functions except b. f(x)g(x)

Hence the option B) f(x)g(x)  is correct.

From the given options f(x)g(x) is not the correct notation for composite functions.