Which is an asymptote of the graph of the function y is equal to tangent of open paren 3 fourths x close paren ?

The tangent function has vertical asymptotes when its input equals π/2 + kπ, where k is an integer. Set 3x/4 = π/2 + kπ and solve to get x = 2π/3 + 4kπ/3. Taking k = −1 gives x = −2π/3, so the asymptote is choice B, x equals negative 2π over 3.

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