Answer:
(fоgоh)(x)=2x³+1
Step-by-step explanation:
Function composition is an operation where two functions, say f(x) and g(x), a new function h(x)=(fоg)(x)=f(g(x)) is generated. In this operation, the function g is applied to the result of the function f. Hence, function f:X→Y and g:Y→Z are joined to form a new function h:X→Z
Given [tex]f(x)=x+1[/tex]
[tex]g(x)=2x[/tex]
[tex]h(x)=x^{3}[/tex]
(fоgоh)(x)=[tex]f(g(h(x)))[/tex]
=[tex]f(g(x^{3}))[/tex]
=[tex]f(2x^{3})[/tex]
=2x³+1
