Identify any points of discontinuity for the following functions. Indicate if the discontinuity is removable or nonremovable. c) f(x)=1/x^2+2 d) f(x)=x-5/x^2-9x+20 e) f(x)=3-2x-x^2 f) f(x)={-2x+3, x<1} {x^2, x>=1} g) f(x)= {1/2x+1, x<=2} {3-x, x>2} h) f(x)={x^2-4, x<=0} {3x+1, x>0}
Identify any points of discontinuity for the following functions. Indicate if the discontinuity is removable or nonremovable. c) f(x)=1/x^2+2 d) f(x)=x-5/x^2-9x+20 e) f(x)=3-2x-x^2 f) f(x)={-2x+3, x<1} {x^2, x>=1} g) f(x)= {1/2x+1, x<=2} {3-x, x>2} h) f(x)={x^2-4, x<=0} {3x+1, x>0}
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
Related questions
Question
Identify any points of discontinuity for the following functions. Indicate if the discontinuity is
removable or nonremovable.
c) f(x)=1/x^2+2
d) f(x)=x-5/x^2-9x+20
e) f(x)=3-2x-x^2
f) f(x)={-2x+3, x<1}
{x^2, x>=1}
g) f(x)= {1/2x+1, x<=2}
{3-x, x>2}
h) f(x)={x^2-4, x<=0}
{3x+1, x>0}
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