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solmaris [256]
2 years ago
8

If f(x)=x/2 and g(x) = x-3,what is the value of g(f(8))

Mathematics
2 answers:
pochemuha2 years ago
7 0
F(x) = x/2
g(x) = x - 3

f(8) = 8/2 = 4

g(f(x)) = 4 - 3 = 1

Answer g(f(8)) = 1
MArishka [77]2 years ago
3 0
Comment.
The first thing to do is find out what f(x) put into g(x) is and what it means.

Step One
Put f(x) into g(x). This means wherever you see an x in g(x) you put f(x)
g(x) = x - 3
g( f(x) ) = f(x) - 3
g( f(x) ) = x/2 - 3

Step Two
When you know what g(f(x)) you now put an 8 wherever you see an x.
Find g(f(8)) = x/2 - 3
g(f(8)) = 8/2 - 3
g(f(8)) = 4 - 3
g(f(8)) = 1

1 <<<<< answer.
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(3x+1)(x-2)+ax+b=3x^2+8x-5<br> Work out the values of a and b
Musya8 [376]

Answer:

a = 13, b = - 3

Step-by-step explanation:

Expand the left side and compare like terms on both sides

(3x + 1)(x - 2) ← expand using FOIL

= 3x² - 5x - 2

left side = 3x² - 5x - 2 + ax + b ← combine like terms

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