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Social Science4. 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.
Practice Question 4.3
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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.
Expert Answer
Since (3,-2) is a poiny on graph of f(x), so, we have
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f (3) -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)
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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
By sustituting 2x=3 , which gives x=1.5 and then by finding h...
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h(x) f(2x)+1 2x 3x1.5 h(1.5) f(3)+-2 +1= -1
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