SOLUTION: 1)The equation defines a one-to-one function f. Determine f -1 and verify that f f -1 and f -1 f are the identity function. y=9x-9 f-1= f *f -1 = f -1 *f = 2)Let f(x) = x2

Algebra ->  Functions -> SOLUTION: 1)The equation defines a one-to-one function f. Determine f -1 and verify that f f -1 and f -1 f are the identity function. y=9x-9 f-1= f *f -1 = f -1 *f = 2)Let f(x) = x2      Log On


   



Question 596799: 1)The equation defines a one-to-one function f. Determine f -1 and verify that f f -1 and f -1 f are the identity function.
y=9x-9
f-1=
f *f -1 = f -1 *f =
2)Let f(x) = x2 − 8 and g(x) = 2x − 2. Find the value, if possible. (If not possible, enter IMPOSSIBLE.)
(f − g)(-5) =
3)The function f defined by the given equation is one-to-one on the given domain. Find f -1(x).

4)Let f(x) = √x + 7 and g(x) = x2 − 7. Determine the domain of the composite function and then find the composite function.
(f * g)(x)=
5)Let f(x) = 2x − 7 and g(x) = 7x − 2. Find the value.
(g * f)(-2) =

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