Question

If f(x) = 3x and g(x)=1/3x, which expression could be used to verify that g(x) is the inverse of f(x)?

A. 3x(x/3)

B.(1/3x)()3x

C.1/3(3x)

D.1/3(1/3x)


34 points

Answer 1

Answer:

C would be able to verify the equation.

Step-by-step explanation:

In order to tell if any equation is a inverse, you can plug one equation in for x in the other. If the result is y = x, then it is an inverse. C is putting f(x) in for x in the g(x) equation. If you multiply this out, it comes out to y = x

Answer 2

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

If two functions are inverse of each other, then their composition is equal to the variable, in this case, it is x. Since f(x)=3x, while g(x)=1/3x, therefore, we can write,

g(f(x))

= 1/ 3(3x)

Hence, the correct option is C.

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