Consider the function g(x)=200/(x-4). Find the inverse of g and call this function h(x). Evaluate h(40.4). Round to 1 decimal place.
y = 200 / (x - 4) multiply both sides by x - 4
y (x - 4) = 200
yx - 4y = 200
yx = 200 + 4y divide by y
x = [ 200 + 4y ] / y swap x, y
y = [200 + 4x] / x
h(x) = [200 + 4x] / x
h(40.4) = [200 + 4(40.4)] / 40.4 ≈ 8.95 = 9 (rounded)
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