Mathematics
seekgod64
26

if f(x)=x^2-5x+3 then what is the value of f(x-1)

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trav1ty

[latex]f\left( x \right) ={ x }^{ 2 }-5x+3[/latex] The value of [latex]f(x-1)[/latex] is wanted. To find it, we'll plug x-1 in the function of f(x). [latex]f\left( x \right) ={ x }^{ 2 }-5x+3\\ \\ f(x-1)=\quad { (x-1) }^{ 2 }-5(x-1)+3\\ \\ f(x-1)=\quad { x }^{ 2 }-2x+1-(5x-5)+3\\ \\ f(x-1)=\quad { x }^{ 2 }-2x+1-5x+5+3\\ \\ f(x-1)=\quad { x }^{ 2 }-2x-5x+1+8\\ \\ f(x-1)=\quad { x }^{ 2 }-7x+9\quad [/latex]

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