What is the range of the function?

f(x)=3/x+4 − 2

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I think it is (-inifnity,-2)U (-2,postitive infinity)

jjennylove Sep 6, 2019

#1**+2 **

f(x) = 3/ [x + 4] - 2 = [ 3 - 2x - 8 ] / [x +4] = [ -2x - 5] / [ x + 4]

We have a vertical asymptote at x = -4

The horizontal asymptote is given by the ratio of the coefficients on the x variable in numerator/denominator

So...it is → y = -2 / 1 → y = -2

So.....your answer is correct, Jenny !!!!

CPhill Sep 6, 2019