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Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x. Evaluate the composition (ƒ ∘ g)(1) .
Question 12 options:

A)

(ƒ ∘ g)(1) = 49

B)

(ƒ ∘ g)(1) = –36

C)

(ƒ ∘ g)(1) = 32

D)

(ƒ ∘ g)(1) = –24

Respuesta :

Answer

C is WRONG

Step-by-step explanation:

The correct answer is A

The fog(1) is -41.

Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x.

Evaluate the composition (ƒ ∘ g)(1).

= f(g(x) where x = 1

= f(-3x)

= -5(-3x)² - (-3x)+ 1

=-5(9x²)+3x+1

fog(x) = -45x²+3x+1

fog(1) = -45+3+1

= -41

Hence, The fog(1) is -41.

Learn more about composition here https://brainly.com/question/15245887

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