Question

F(x)=x/\2-7 g(x)=x-2 calculate f of g(-1) and g of f (-1)

show your work and explain the steps.

Answer 1

2 and - 8

Explanation:

to evaluate f ￮ g (- 1)

first evaluate g(- 1)

then substitute the value obtained into f(x)

g(- 1) = - 1 - 2 = - 3 , then

f(- 3) = (- 3)² - 7 = 9 - 7 = 2

so f ￮ g (- 1) = 2

to evaluate g ￮ f (- 1)

first evaluate f(- 1)

then substitute the value obtained into g(x)

f(- 1) = (- 1)² - 7 = 1 - 7 = - 6 , then

g(- 6) = - 6 - 2 = - 8

so g ￮ f (- 1) = 8