Lesson 27 Practice

  1. Combining Functions 1. a) 2x-5 b) 1 c) x^2-5x+6 d) \frac{(x-2)}{x-3}
  2. Combining Functions 2. a) \sqrt{x-1}-x^2+1 b) \sqrt{x-1}+x^2-1 c) \sqrt{x-1}-x^2\sqrt{x-1} d) \frac{\sqrt{x-1}}{1-x^2}
  3. Combining Functions 3. a) \frac{(3+x)}{x^2} b) \frac{(3-x)}{x^2} c) \frac{3}{x^3} d) \frac{3}{x}
  4. Composition of Functions 1.

    The composition of the functions s and t, is (s\circ t)(x) = s(t(x)).

  5. Composition of Functions 2. a) -x^2+4 b) -x^2-6x-8 c) (-\infty ,\infty ) d) (-\infty ,\infty) e) 6+x
  6. True or False? False
  7. Order Matters?

    The order of the composition of functions does matter so (s\circ t)(x)=(t\circ s)(x) only for some choices of the functions s and t.

  8. Composition of Functions 3. a) -x^2 b) \sqrt{-x^4+8x^2-12} c) \left[-2,2\right] d) [-\sqrt{6},-\sqrt{2}]\cup [\sqrt{2},\sqrt{6}] e) x^4-8x^2+12
  9. Evaluate the Function. a) 2 b) -3 c) -185 d) -30