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Verify that f and g are inverses functions using composition , show your steps

We can conclude that f(x) and g(x) are not inverses.

Step-by-step explanation:

If we have two functions:

f(x) and g(x)

These functions are inverses if:

f( g(x) ) = x

g( f(x) ) = x

In this case, we have:

f(x) = 12*x - 12

g(x) = (1/12)*x - 1

Now we need to check the compositions:

f( g(x) ) = 12*g(x) - 12 = 12*( (1/12)*x - 1) - 12 = (x - 12) - 12 = x - 24

and:

g( f(x)) = (1/12)*f(x) - 1 = (1/12)*(12*x - 12) - 1 = 12*x/12 - 12/12 - 1 = x - 1 - 1 = x - 2

In both cases, we can see that:

f( g(x) ) ≠ x

and:

g( f(x) ) ≠ x

Then we can conclude that f(x) and g(x) are not inverses functions.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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step-by-step explanation: