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# 4) Let f(x) = 1/x be the parent function. I really need some help on the problem so please answer each one.

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4) Let f(x) = 1/x be the parent function. Let g(x) = (3x - 10)/(x - 4) be a transformation of f(x).

(a) Rewrite g(x) in the form a + (k/(x - 4)).

(b) Describe in words the transformations that take f(x) to g(x).

(c) If f(x) contains the points (-2, -½) and (1, 1), find the corresponding coordinates on g(x) using the transformation rules from part (b).

(d) Find the equations of the vertical and horizontal asymptotes.

Mar 21, 2020

#1
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GM....I don't  know  (b)  or (c)   but  here's (a) and (d)

(a)

3

x - 4  [ 3x   - 10   ]

3x   - 12

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So  g(x)  =   3  +   2 / ( x - 4)

(d)

Using  the first function....the  horizontal asymptote   is

y  =  3 / 1      =  3

And the vertical symptote    is  x   = 4   Mar 21, 2020
#2
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This was also posted here: https://web2.0calc.com/questions/4-let-f-x-1-x-be-the-parent-function-let-g-x-3-x

Take a look at it again!

Mar 21, 2020