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Answer :

Having the expression for f(x), and knowing the value of f(x) (-22), we just need to equate those expressions:

[tex]f(x)=5x-2=-22[/tex]

Obtaining the following equation with one unknown:

[tex]5x-2=-22[/tex]

Solving for x:

[tex]\begin{gathered} 5x=-22+2 \\ \\ 5x=-20 \\ \\ x=-\frac{20}{5} \\ \\ x=-4 \end{gathered}[/tex]

Answer B: when f(x) = -22, we have that x = -4.

And this will correspond to the point (-4,- 22)