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:
Hence, g(x) is inverse of f(x)
Step-by-step explanation:
The provided function are f(x)=5x-25 and
To check g(x) is the inverse of f(x)
Plug the formula for g(x) into every instance of "x" in the formula for f (x):
(fog)(x) = f(g(x))
= x+25-25
= x
Now, plug the formula for f (x) into every instance of "x" in the formula for g(x) :
(gof)(x) = g(f(x))
=
=
= x - 5 + 5
= x
Both ways we get "x"
So, both functions are inverse of each other.
Hence, g(x) is inverse of f(x) .
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This is the answer that I came out with. Hope it helps.
