Question

The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(x). Find each of the following:

Answer 1

I included the graphs of the functions f(x) (given in blue) and g(x) (given in red) in the attached pdf file.

The questions are:

1) Find u(1) and
2) Find v(1)

Solutions:

1) u(x) = f(x) g(x) => u(1) = f(1) * g(1)

From the graphs f(1) = 1 and g(1) = 2, then f(1)*g(1) = 1*2 =2

Answer: 2

2)  v(x) = f(x) / g(x) => v(1) = f(1) / g(1) = 1 / 2 = 0.5

Answer: 0.5

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