Question

Write g(f(x)) as an expression in terms of x

Answer 1

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).

What is an Expression?

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

$g(x) = \dfrac{x^2-12}{x^2+4}$

The value of g(f(x)) as an expression in terms of x can be written as,

$g(f(x)) = \dfrac{(x-5)^2-12}{(x-5)^2+4}\\\\\\g(f(x)) = \dfrac{x^2+25-10x-12}{x^2+25-10x+4}\\\\\\g(f(x)) = \dfrac{x^2-10x+13}{x^2-10+29}$

Hence, the value of g(f(x)) is (x²-10x+13) / (x²-10+29).

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