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4 years ago

529 rounded to the nearest hundred

Mathematics

2 answers:

slega [8]4 years ago

3 0

The answer should be 500.

Fiesta28 [93]4 years ago

3 0

It is 500. rounded to the nearest hundred

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Greeley [361]

Given that the functions $f(x)=x+4$ and $g(x)=x^{3}$

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First, we shall determine the composition of the function $(g \circ f)(x)$

Function $(g \circ f)(x)$ :

Let us determine the function $(g \circ f)(x)$

Thus, we have;

$(g \circ f)(x)=g[f(x)]$

$=g[x+4]$

$=(x+4)^3$

$(g \circ f)(x)=x^3+3x^2(4)+3x(4)^2+(4)^3$

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Thus, the function is $(g \circ f)(x)=x^3+12x^2+48x+64$

Value of the function $(g \ {\circ} f)(-3)$ :

The value of the function can be determined by substituting x = -3 in the function $(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, we have;

$(g \circ f)(-3)=(-3)^3+12(-3)^2+48(-3)+64$

Simplifying the terms, we get;

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$(g \circ f)(-3)=-27+108-144+64$

$(g \circ f)(-3)=1$

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