Question

Hellooo please i need help on these question

Answer 1

( f - g )(x) = 10x - 17 and ( f ° g)(-6)  = 60. The answers are option D and B

There are different type of Function

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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