If a function h is defined by h(x)=-4x-72 and x decreases by 11, h(x) increased by 44
Given the function h(x)=-4x-72, if x is decreased by 11, the resulting function g(x) will be:
g(x) = -4(x-11) - 72
g(x) = -4x + 44 - 72
g(x) = -4x - 28
Taking the difference between the functions:
Difference = g(x) - h(x)
Difference = -4x - 28 - (-4x-72)
Difference = -4x - 28 + 4x + 72
Difference = -28+72
Difference = 44
This shows that h(x) increased by 44
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