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Determine if the functions are inverses of each other.
f(x) = 2x + 3 and g(x) = 2x - 3

Determine if the functions are inverses of each other. f(x) = 2x + 3 and g(x) = 2x-example-1
User Tera
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Answer: No, they are not inverses of each other.

Step-by-step explanation:

Let's use function composition to compute f(g(x)).

f(x) = 2x+3

f(g(x)) = 2( g(x) ) + 3

f(g(x)) = 2(2x-3) + 3

f(g(x)) = 4x-6+3

f(g(x)) = 4x-3

We don't end up with x as the final result.

Because f(g(x)) = x is not the case, it means f(x) and g(x) are not inverses of each other.

User Muhammad Rio
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