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Margarita [4]
2 years ago
11

HELPPPP!!!! Need the answer ASAP!!

Mathematics
1 answer:
Greeley [361]2 years ago
8 0

<u>Given </u>that the functions f(x)=x+4 and g(x)=x^{3}

We need to determine the value of the function (g \ {\circ} f)(-3)

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

<u>Function </u>(g \circ f)(x)<u>:</u>

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

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

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

<u>Value of the function </u>(g \ {\circ} f)(-3)<u>:</u>

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;

(g \circ f)(-3)=-27+12(9)+48(-3)+64

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

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

Thus, the value of the function (g \ {\circ} f)(-3) is 1.

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