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Given [tex]\( g(x) = 2x^3 - x + 8 \)[/tex], find [tex]\( g(2) \)[/tex]. What does your answer tell you?

Sagot :

GinnyAnswer
To solve for [tex]\( g(2) \)[/tex] given the function [tex]\( g(x) = 2x^3 - x + 8 \)[/tex], follow these steps:

1. Substitute [tex]\( x \)[/tex] with 2 in the function [tex]\( g(x) \)[/tex]:
[tex]\[ g(2) = 2(2)^3 - 2 + 8 \][/tex]

2. Calculate the power term:
[tex]\[ (2)^3 = 8 \][/tex]

3. Multiply the result by 2:
[tex]\[ 2 \cdot 8 = 16 \][/tex]

4. Substitute back into the equation:
[tex]\[ g(2) = 16 - 2 + 8 \][/tex]

5. Perform the addition and subtraction:
[tex]\[ 16 - 2 = 14 \][/tex]
[tex]\[ 14 + 8 = 22 \][/tex]

Thus, [tex]\( g(2) = 22 \)[/tex].

The answer tells us that when the input [tex]\( x \)[/tex] is 2, the output of the function [tex]\( g(x) \)[/tex] is 22. Therefore, [tex]\( g(2) \)[/tex] equals 22.
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