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1- Consider the functionf(x)=90x 2 3x / x 2 -4x-45 a) Isx=5x=5 a vertical asymptote off(x)f(x)? Show your work. b) Isx=9x=9 a vertical asymptote off(x)f(x)?

1- Consider the functionf(x)=90x23x / x2-4x-45

a) Isx=5x=5 a vertical asymptote off(x)f(x)? Show your work.

b) Isx=9x=9 a vertical asymptote off(x)f(x)? Show your work.

2- Find all values ofxx in the interval[0,2] that satisfy the equation

3sec4x16sec2x+4=0

3- Starting with the graph ofg(x)=sin(x), apply the appropriate transformation steps to sketch the graph off(x)=|4sin(2x)+1|3 . Show clearly all your steps.

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