Question

F(x)=-2x+3 and g(x)=5-x^2
(f o g)(4)

Answer 1

(f ○ g)(4) = 25

Explanation:

to evaluate the composite function (f ○ g )(4) , evaluate g(4) , then substitute the value obtained into f(x)

g(x) = 5 - x² , then

g(4) = 5 - 4² = 5 - 16 = - 11 , so

f(x) = - 2x + 3 , so

f(- 11) = - 2(- 11) + 3 = 22 + 3 = 25

thus (f ○ g)(4) = 25