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Answer:
h3 =-20 and that will be your answer hopefully this helps you
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Rewritten by : Barada
Answer: well let's see, the given problem defines three functions: h(x), g(x), and f(x).
The function h(x) is defined as h(x) = -4|-8+x|.
The function g(x) is defined as g(x) = 3x^2 - 2/x^2.
However, the function f(x) is not provided in the question.
To solve this problem, we need to understand what each function does.
The function h(x) is an absolute value function, indicated by the vertical bars surrounding the expression |-8+x|. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value.
For example, if x = 3, then |-8+3| = |-5| = 5. If x = -2, then |-8+(-2)| = |-10| = 10.
So, the function h(x) takes the value of -8+x, computes the absolute value of that expression, and then multiplies the result by -4.
The function g(x) is a quadratic function, given by g(x) = 3x^2 - 2/x^2. This function involves two terms: 3x^2 and -2/x^2. The first term, 3x^2, represents a quadratic term, where the variable x is squared. The second term, -2/x^2, represents a rational expression, where x is in the denominator.
To evaluate g(x) for a specific value of x, we substitute the value of x into the function. For example, if x = 2, then g(2) = 3(2)^2 - 2/(2)^2 = 3(4) - 2/4 = 12 - 1/2 = 11.5.
In summary, the given problem defines the functions h(x) and g(x), but does not provide a definition for f(x). We have discussed the characteristics and evaluation of h(x) and g(x) based on the given information.
