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Suppose that the function f is defined f...

Suppose that the function f is defined for all real numbers r by the formula `f(r)=2(r-1)+3`. Evaluate f at the input values `0, 2, x+2`, and `f(2)`.

Text Solution

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In each case we substitute the given input value for r into the formula for F:
`F(0) = 2(0 – 1) + 3 = – 2 + 3 = 1`
`F(2) = 2(2 – 1) + 3 = 2 + 3 =5`
`F(x + 2) = 2 (x + 2 – 1) + 3 = 2x + 5`
`F(F(2)) = F(5) = 2(5 – 1) + 3 = 11`
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