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1-89.
  1. If f(x) = x2 + 5 and g(x) = x + 3 , find and simplify the expressions below. Homework Help ✎

    1. f(g(x))

    2. g(f(x))

    3. f −1(−6)

    4. g −1(−6)

f(g(x)) = f(x + 3) = ______________

Refer to hint (a).

Even though f −1(x) is the inverse of f(x), you do not need to find the equation of the inverse. Simply evaluate 6 as the y-value and solve for x.

6 = f(x)
6 = x2 + 5
1 = x2
x = ± 1

Refer to hint (c).