Question

Given functions f and g below, find and simplify the following functions: (f+g)(x), (f-g)(x),f÷g(x);and
(f*g)(x)
1. f(x) = x + 2; g(x) = x2 + 4
2. f(x) = VX – 1;g(x) = x2 + 4
VI. Reflection
3 things you found out
2 interesting things
1 questions you still have
VII.
Feedback​

Answer 1

Answer:

1. f+g is X2+x+6 2. f-g is X - X2-2

Answer 2

Put the values as necessary directly.

Explanation:

• for (f+g) simply add the functions
• for (f-g) simply subtract g from f
• for (f.g) simply multiply the functions
• for (f/g) simply divide f by g
• for (f of g), put g(x) as (x) in f(x)
• View answers as follows:

$1. f(x) = x +2, g(x) = x^2 + 4\\\\\implies\\ (f+g) = x^2 + x + 6\\(f-g) = -x^2 +x -2\\(f.g) = (x+2).(x^2+4)\\\\(f/g)=\frac{x+2}{x^2+4}\\(fog) = x^2 + 6$