If f: R to R is defined by f(x) = (x + 1)^2 a | vedclass

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(A) Given functions are $f(x) = (x + 1)^2$ and $g(x) = x^2 + 1$.We need to find the value of $(fog)(-3)$.By definition of composition of functions,$(f

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$121$

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(A) Given functions are $f(x) = (x + 1)^2$ and $g(x) = x^2 + 1$.We need to find the value of $(fog)(-3)$.By definition of composition of functions,$(fog)(x) = f(g(x))$.First,calculate $g(-3)$:$g(-3) = (-3)^2 + 1 = 9 + 1 = 10$.Now,substitute this value into $f(x)$:$(fog)(-3) = f(g(-3)) = f(10)$.Since $f(x) = (x + 1)^2$,we have:$f(10) = (10 + 1)^2 = 11^2 = 121$.Therefore,$(fog)(-3) = 121$.

If $f: R \to R$ is defined by $f(x) = (x + 1)^2$ and $g: R \to R$ is defined by $g(x) = x^2 + 1$,then $(fog)(-3)$ equals:

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