4. Let (3, -2) is a point on the graph of f(x). Find one point on the graph of each of thefollowing functions. Justify your answer. A correct final answer without justificationwill receive little credit!(a) g(r) f(x- 2) 3.(b) h(") %—D f(2л) + 1.(c) k(x) 4f(2x) - 2.(d) l(x)={(3г + 3) + 1.

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Asked Nov 18, 2019
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Practice Question 4.3

4. Let (3, -2) is a point on the graph of f(x). Find one point on the graph of each of the
following functions. Justify your answer. A correct final answer without justification
will receive little credit!
(a) g(r) f(x- 2) 3.
(b) h(") %—D f(2л) + 1.
(c) k(x) 4f(2x) - 2.
(d) l(x)=
{(3г + 3) + 1.
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4. Let (3, -2) is a point on the graph of f(x). Find one point on the graph of each of the following functions. Justify your answer. A correct final answer without justification will receive little credit! (a) g(r) f(x- 2) 3. (b) h(") %—D f(2л) + 1. (c) k(x) 4f(2x) - 2. (d) l(x)= {(3г + 3) + 1.

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Expert Answer

Step 1

Since (3,-2) is a poiny on graph of f(x), so, we have

f (3) -2
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f (3) -2

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Step 2

By sustituting x-2=3 , which gives x=5 and then by finding g(5),  we get a point (5,-5) on graph of g(x)

g(x) f(x-2)-3
x-2 3x= 5
g(5) f(5-2)-3 f(3)-3-2-3 = -5
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g(x) f(x-2)-3 x-2 3x= 5 g(5) f(5-2)-3 f(3)-3-2-3 = -5

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Step 3

By sustituting 2x=3 , which gives x=1.5 and then by finding h...

h(x) f(2x)+1
2x 3x1.5
h(1.5) f(3)+-2 +1= -1
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h(x) f(2x)+1 2x 3x1.5 h(1.5) f(3)+-2 +1= -1

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