If $f (x) = x^{2}$ $f(x) = x^2$ and $g (x) = x + 2$ $g(x) = x + 2$ , what is $(g \circ f) (x)$ $(g@f)(x)$ ?

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Answer 1 · 2014-09-13T05:02:24

In this composition the independent variable is f(x) because this function is the input.

The composition is the same as the following ...

$(g \circ f) (x) = g (f (x)) = g (x^{2}) = x^{2} + 2$ $(g @f)(x)=g(f(x))=g(x^2)=x^2+2$

If f(x) = x^2f(x)=x2f(x) = x^2 and g(x) = x + 2g(x)=x+2g(x) = x + 2, what is (g@f)(x)(g∘f)(x)(g@f)(x)?