Functions, Domain and Range

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D = (-∞,1)∪(1,∞)

What is the domain of the function determined by f(x) = (x+1)/(x-1) ?

D = (1,∞)

What is the domain of the function determined by f(x) = 1/(√(x-1)) ?

D = (-∞,-1)∪(-1,1)∪(1,∞)

What is the domain of the function determined by f(x) = 2/(x²-1) ?

D = (0,∞)

What is the domain of the function determined by f(x) = ln(x) ?

D = (-∞,∞)

What is the domain of the function determined by f(x) = x²+3x ?

D = [0,∞)

What is the domain of the function determined by f(x) = √(x) ?

R = {0}

What is the range of the function determined by f(x) = 0 ?

R = (-∞,-1)∪(1,∞)

What is the range of the function determined by f(x) = cscx ?

R = [-1,1]

What is the range of the function determined by f(x) = sinx ?

R = [-π/2, π/2]

What is the range of the function determined by f(x) = sin⁻¹x ? (Remember, f(x) = sin⁻¹x = arcsinx)

R = (-∞,∞)

What is the range of the function determined by f(x) = tanx ?

R = [0,∞)

What is the range of the function determined by f(x) = x² ?


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