Answer
[tex]f(x) = 3x - 5[/tex]
Explain
.
[tex]f(0) = - 5[/tex]
[tex]f(3) = 4[/tex]
.
Find b
[tex]3b - 0b = 4 - ( - 5)[/tex]
[tex]3b = 9[/tex]
[tex]b = \frac{9}{3} \\ [/tex]
[tex]b = 3[/tex]
.
Find f(1)
[tex]f(1) = f(0) + b[/tex]
[tex]f(1) = - 5 + 3[/tex]
[tex]f(1) = - 2[/tex]
.
Find Function
.
[tex]f(x) = f(1) + (x - 1)b[/tex]
[tex]f(x) = - 2 + (x - 1)3[/tex]
[tex]f(x) = - 2 + 3x - 3[/tex]
[tex]f(x) = 3x - 3 - 2[/tex]
[tex]f(x) = 3x - 5[/tex]
[tex] \rm{}fumction \to \boxed{f(x) = 3x - 5}[/tex]
.
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