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Given that f(x)=x-4,quad g(x)=4x and h(x)=-3f(x)-g(x-1), then what is the value of h(6) ? Answer:

Given that f(x)=x−4,g(x)=4x f(x)=x-4, \quad g(x)=4 x and h(x)=−3f(x)−g(x−1) h(x)=-3 f(x)-g(x-1) , then what is the value of h(6) h(6) ?\newlineAnswer:

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Q. Given that f(x)=x−4,g(x)=4x f(x)=x-4, \quad g(x)=4 x and h(x)=−3f(x)−g(x−1) h(x)=-3 f(x)-g(x-1) , then what is the value of h(6) h(6) ?\newlineAnswer:
  1. Find f(6)f(6) value: First, we need to find the value of f(6)f(6) using the function f(x)=x−4f(x) = x - 4.\newlinef(6)=6−4f(6) = 6 - 4\newlinef(6)=2f(6) = 2
  2. Calculate g(5)g(5): Next, we calculate the value of g(5)g(5) because we need g(x−1)g(x-1) and our input is 66, so we substitute xx with 6−1=56-1=5 in the function g(x)=4xg(x) = 4x.
    g(5)=4×5g(5) = 4 \times 5
    g(5)=20g(5) = 20
  3. Use values for h(6)h(6): Now, we use the values of f(6)f(6) and g(5)g(5) to find h(6)h(6) using the function h(x)=−3f(x)−g(x−1)h(x) = -3f(x) - g(x-1).
    h(6)=−3f(6)−g(5)h(6) = -3f(6) - g(5)
    h(6)=−3×2−20h(6) = -3 \times 2 - 20
    h(6)=−6−20h(6) = -6 - 20
    h(6)=−26h(6) = -26

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