An expression is defined as a set of numbers, variables, and mathematical operations. The value of g(f(x)) is (x²-10x+13) / (x²-10+29).
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The complete questions is,
Write g(f(x)) as an expression in terms of x
f(x) = x-5
[tex]g(x) = \dfrac{x^2-12}{x^2+4}[/tex]
The value of g(f(x)) as an expression in terms of x can be written as,
[tex]g(f(x)) = \dfrac{(x-5)^2-12}{(x-5)^2+4}\\\\\\g(f(x)) = \dfrac{x^2+25-10x-12}{x^2+25-10x+4}\\\\\\g(f(x)) = \dfrac{x^2-10x+13}{x^2-10+29}[/tex]
Hence, the value of g(f(x)) is (x²-10x+13) / (x²-10+29).
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