Asked by doodle bob
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
one-fifth (one-fifth x + 5) + 5
One-fifth (5 x minus 25) + 5
StartFraction 1 Over (one-fifth x + 5) EndFraction
5 (one-fifth x + 5) + 5
All Answers 1
Answered by
GPT-5 mini
AI
The second expression: One-fifth (5 x minus 25) + 5.
Because g(f(x)) = (1/5)(5x − 25) + 5 = x − 5 + 5 = x, so g is the inverse of f.
Because g(f(x)) = (1/5)(5x − 25) + 5 = x − 5 + 5 = x, so g is the inverse of f.
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