If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x) (f o g)(x)= (g o f)(x)

Mathematics

1 answer:

Nuetrik [128]2 years ago

3 0

Answer:

(f o g)(x)= 3x + 14

(g o f)(x) = 3x + 4

Step-by-step explanation:

(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14

(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4

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kicyunya [14]

The correct answer is D.

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therefore 30s + 45e = 510
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30s + 45 e can be factorised to 15(2s+3e) = 510

divide 510 / 15 = 34
now we have 2s + 3e = 34

hence 2s = 34 - 3e

didvide by 2 to make s 'free'

therfore you'll get s = 17-(3/2)e

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