Answer:
B. [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]
Step-by-step explanation:
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
[tex]\frac{x+4}{-5}[/tex] = y can be rewritten as [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]
4. Write in inverse notation:
f(x) = [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]
Therefore, B is the answer.
