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Two functions represent the composite function h(x) = (x - 1)3 + 10 so that h(x) = (g p(x). Given f(x) = x + a andg(x) = x3 + b, what values of a and b would make the composition true?a=b =

Two functions represent the composite function hx x 13 10 so that hx g px Given fx x a andgx x3 b what values of a and b would make the composition trueab class=

Respuesta :

Given:-

[tex]h\mleft(x\mright)=(x-1)^3+10,f(x)=x+a,g(x)=x^3+b[/tex]

To find the value of a and b when the composition is true.

So now we simplfiy,

[tex]\begin{gathered} (gof)(x)=g(f(x)) \\ =(x+a)^3+b \end{gathered}[/tex]

So now we equate. we get,

[tex](x-1)^3+10=(x+a)^3+b_{}[/tex]

So the required value is,

[tex]a=-1,b=10[/tex]

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