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Given that f(x)=x-4,quad g(x)=4x and h(x)=3f(x)-g(x+3), then what is the value of h(5) ? 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+3) h(x)=3 f(x)-g(x+3) , then what is the value of h(5) h(5) ?\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+3) h(x)=3 f(x)-g(x+3) , then what is the value of h(5) h(5) ?\newlineAnswer:
  1. Find f(5)f(5): First, we need to find the value of f(5)f(5) using the function f(x)=x−4f(x) = x - 4.\newlinef(5)=5−4f(5) = 5 - 4\newlinef(5)=1f(5) = 1
  2. Calculate g(5+3)g(5 + 3): Next, we calculate the value of g(5+3)g(5 + 3) using the function g(x)=4xg(x) = 4x. We need to evaluate gg at x+3x + 3, which in this case is 5+35 + 3.\newlineg(5+3)=g(8)g(5 + 3) = g(8)\newlineg(8)=4×8g(8) = 4 \times 8\newlineg(8)=32g(8) = 32
  3. Use f(5)f(5) and g(8)g(8) to find h(5)h(5): Now, we use the values of f(5)f(5) and g(8)g(8) to find h(5)h(5) using the function h(x)=3f(x)−g(x+3)h(x) = 3f(x) - g(x + 3).
    h(5)=3f(5)−g(8)h(5) = 3f(5) - g(8)
    h(5)=3×1−32h(5) = 3 \times 1 - 32
    h(5)=3−32h(5) = 3 - 32
    g(8)g(8)00

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