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PCAT Quantitative Reasoning – Function Composition

  • by Sam
  • Oct 25, 2017
  • PCAT Question of the Day

If f(x)=16x– 4x + 5, g(x= 1 – x, and h(x1/x2, what is (f∘ g∘ h)(-2)?

  1. 2
  2. 11
  3. 25
  4. 100
Explanation

B is correct. The function composition (f∘g∘h)(-2) can also be expressed as f(g(h(-2))). Let’s start from the middle and work our way out:

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