Answer:
B
Explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .
B.
1. Rewrite the function as a linear equation:
y = -5x - 4
2. Swap x and y:
x = -5y - 4
3. Solve for y:
x+4 = -5y - 4+4
x + 4/-5 = -5y/-5
= y can be rewritten as
4. Write in inverse notation:
f(x) =
Therefore, B is the answer.
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