Response:
A quadratic equation has solutions of 6 and -2.
Thus, if the variable is denoted by X, the factors of the polynomial function will be (X - 6) and (X + 2).
Thus, the equation can be represented as
(X - 6)(X + 2) = 0 ⇒
(Response)
If f(x)=5x-25 and g(x) = 1/5x+5 which expression could be used to verify g(×) is the inverse of f(×)
2 answers:
Answer:
Therefore, g(x) is the inverse function of f(x).
Step-by-step explanation:
The functions provided are f(x) = 5x − 25 and
To verify that g(x) is the inverse of f(x), we substitute g(x) into f(x):
(f ∘ g)(x) = f(g(x))
= x + 25 − 25
= x
Next, substitute f(x) into g(x):
(g ∘ f)(x) = g(f(x))
=
=
= x − 5 + 5
= x
In both compositions, the output simplifies to x
This confirms both functions are inverses of each other.
Thus, g(x) is the inverse of f(x).
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