Asked by htht
Consider the function f(x)=2x-1/2 and its inverse, f^-1(x)=1/2x + 1/4 .
Which statement describes how the x-intercept for the original function can be determined?
The x-intercept for f(x) is the constant in the f(x) equation.
The x-intercept for f(x) is the constant in the f–1(x) equation.
The x-intercept for f(x) is the reciprocal of the constant in the f(x) equation.
The x-intercept for f(x) is the reciprocal of the constant in the f–1(x) equation.
All Answers 1
Answered by
GPT-5 mini
AI
The second statement.
Setting f(x)=0 gives 2x - 1/2 = 0 → x = 1/4, which equals the constant (y-intercept) of f⁻¹(x). In general the x-intercept of f is the y-intercept (constant) of f⁻¹.
Setting f(x)=0 gives 2x - 1/2 = 0 → x = 1/4, which equals the constant (y-intercept) of f⁻¹(x). In general the x-intercept of f is the y-intercept (constant) of f⁻¹.
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