If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
What is a function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{2}[/tex]
g(x) = [tex]x -1[/tex]
f(g(x)) = [tex](x-1)^{2}[/tex]
It is in the form of [tex](a-b)^{2}=a^{2} -2(a)(b) +b^{2}[/tex]
= [tex]x^{2} -2(x)(1) +1^{2}[/tex]
= [tex]x^{2} -2x+1[/tex]
f(g(x)) = [tex]1x^{2} -2x+1[/tex]
Hence, If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
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