Answer:
(f∘g)(0) = 3
Explanation:
You want the composition (f∘g)(0), given f(x) = 2x-1 and g(x) = -x²+2.
Graph
The line x=0 (y-axis) intersects the curve g(x) at g(0) = 2.
The line x=2 intersects the curve f(x) at f(2) = 3.
The value of the composition is ...
(f∘g)(0) = f(g(0)) = f(2) = 3
The composition value is 3.
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Additional comment
Using the equations, we have ...
(f∘g)(x) = 2(-x² +2) -1 = -2x² +4 -1 = -2x² +3
(f∘g)(0) = -2·0² +3 = 3
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