Which of the following is a true statement about functions?
A. If A and B are matrices, then AB = A+B.
B. If f and g are functions, then (fog)(3)=(gof)(3)
C. If f is a function, then f(3h)=3f(h)
D. If f and g are functions, then (f+g)(1)=(g+f)(1)

Respuesta :

The correct answer would be Choice D.

In this problem, the only change that was made was the order that you added the functions F and G. Since addition is commutative, we can reverse the order of the numbers being added without changing the problem.

The statement is true about the function is ''If f and g are functions, then (f+g)(1)=(g+f)(1)''.

We have to determine the correct statement about the function.

According to the question

Commutative law states that the result obtained by Mathematical operation on any number of operands is the same even when the order of the operands is reversed.

The addition property of commutative law states that the sum of any two numbers remains the same even when the position of the numbers is interchanged.

Then,

'If f and g are functions,

[tex]\rm (f+g)(1)=(g+f)(1)''[/tex]

Hence, the statement is true about the function is ''If f and g are functions, then (f+g)(1)=(g+f)(1)''.

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