Answer:
[tex]f(x) = 0 \text{ when } x = \bold{1} [/tex]
[tex]f(-7) =\bold{224}[/tex]
Step-by-step explanation:
Solving for the input, [tex]\bold{x}[/tex], given the output:
Given:
[tex]f(x) = 4x -4[/tex]
Solving for [tex]x[/tex] from the equation, [tex]f(x) = 0[/tex]:
[tex]f(x) = 0 \\ 4x -4 = 0 \\ 4x = 4 \\ x = \frac{4}{4} \\ x = 1[/tex]
Solving for the output, [tex]\bold{f(x)}[/tex], given the input.
Given:
[tex]f(x) = 4x^2 -4x[/tex]
Solving [tex]f(-7)[/tex]:
[tex]f(-7) = 4(-7)^2 -4(-7) \\ f(-7) = 4(49) -4(-7) \\ f(-7) = 196 +28 \\ f(-7) = 224[/tex]
