castillobaltazar07 castillobaltazar07
  • 18-11-2020
  • Mathematics
contestada

If g(x)= 3x-5 and h(x)= 2x–4 then (goh)(x)=?​

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Space
Space Space
  • 18-11-2020

Answer:

(g o h)(x) = 6x - 17

General Formulas and Concepts:

Pre-Algebra

  • Equality Properties

Algebra I

  • Composite Functions

Step-by-step explanation:

Step 1: Define

g(x) = 3x - 5

h(x) = 2x - 4

(g o h)(x) is g(h(x))

Step 2: Find

  1. Substitute:                         (g o h)(x) = 3(2x - 4) - 5
  2. Distribute 3:                       (g o h)(x) = 6x - 12 - 5
  3. Combine like terms:         (g o h)(x) = 6x - 17

And we have our final answer!

Answer Link

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