Question

Given the functions: f(x) = 2x g(x)= |x+6| x = 6 Evaluate the function (f-g)(-7) for the given value of x. Write your answer as an integer or simplified fraction

Answer 1

(f-g)(-7) = -15

Step-by-step explanation:

`(f-g)(x)=f(x)-g(x)=2x-|x+6|`
`(f-g)(x)=2x-|x+6|`

Now (f-g) (-7) is found by replacing x with - 7 - this gives

`(f-g)(x)=2(-7)-|-7+6|`
`=-15`

which is our answer!