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Composition of functions:determine the equation of (gof)(x) image attached much appreciated

Composition of functions:determine the equation of (gof)(x) image attached much appreciated-example-1
User Thayer
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In general, the definition of the function composition is given by the expression below


(g\circ f)(x)=g(f(x))

Therefore, in our case,


(g\circ f)(x)=g(-(1)/(√(x)))=1(-(1)/(√(x)))^3+19(-(1)/(√(x)))^2+16=-\frac{1}{x^{(3)/(2)}}+(19)/(x)+16

Then, the answer is


\Rightarrow(g\circ f)(x)=-\frac{1}{x^{(3)/(2)}}+(19)/(x)+16

User Nimit Joshi
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