Different types of function demands different ways of solving them. Different types are simple function, function by substitution and function of function.

Given that

f(x) = $x^{2}$ + 9x - 14 and g(x) = $x^{2}$ - x + 3

( f - g )(x) will be the difference between f(x) and g(x)

( f - g )(x) = $x^{2}$ + 9x - 14 - ( $x^{2}$ - x + 3)

( f - g )(x) = $x^{2}$ + 9x - 14 - $x^{2}$ + x - 3

( f - g )(x) = 10x - 17

Also, if f(x) = $3x^{2}$ - 15 and g(x) = 1 - 2/3 x

( f ° g)(-6) means that we will evaluate g at -6, then evaluate f at the result of g(-6)

g(-6) = 1 - 2/3 (-6)

g(-6) = 1 + 4

g(-6) = 5

f(g(-6)) = 3( $5^{2}$ ) - 15

f(g(-6)) = 3 x 25 - 15

f(g(-6)) = 75 - 15

f(g(-6)) = 60

Therefore, ( f - g )(x) = 10x - 17 and ( f ° g)(-6) = 60

Learn more about Function here: brainly.com/question/25638609

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8 0

2 years ago

Number 16 please!!!!!!

Drupady [299]

Simple multiplication？
it'll be 12x-33

3 0

4 years ago