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If ƒ(x) = 5x − 2 and g(x) = 1 − 2x, find (ƒg)(x).


(a) 9x − 10x^2 − 2

(b) 15x − 2

(c) 5x − 6x^2 − 2

(d) 10x^2 + 9x + 2

(e) 3x − 1

Respuesta :

The value of (ƒg)(x). is 9x - 10x² - 2. Option A

How to determine the value

From the information given, we have that;

  • ƒ(x) = 5x − 2
  • g(x) = 1 − 2x
  • (ƒg)(x) ?

To find (ƒg)(x), we need to multiple both functions

We have;

( 5x − 2 ) ( 1 - 2x)

Expand the bracket

5x - 10x² - 2 + 4x

Collect like terms

5x + 4x - 10x² - 2

9x - 10x² - 2

Thus, the value of (ƒg)(x). is 9x - 10x² - 2. Option A

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