Given f, g, find 3(f+g)(2), (g*f)(-2), g(f(x)), (f*g)(x),

[Kayto]

1) Given f(x) = 2(squareroot of) x+1 and g(x) = (squareroot of) 2x-1 simplify 3(f+g)(2)

2) Given f(x) = 1-x^2 and g(x) = 2x + 1 evaluate (g . F) (-2)

3) Given g(x) = (squareroot of) 3 - 2x and f(x) - |x-2| A) find g(f(x)) B) State if the composite functions exists

4) Given f(x) = X /(2-x) and g (x) = 3/(x) A) Find (f . g) (x) B) State any restrictrions

5) G(x) = (-3/5)x + 2 and its inverse.

[stripling_warrior]

Do you mean...

1. Given and simplify

2. Given and evaluate

3. Given and find State if the composite functions exists

4. Given and Find State any restrictrions

5. Given and its inverse.

[Kayto]

Yes sorry don't know how to do those symbols on here.

[Martingale]

The composition of functions

can be written using

(f\circ g)(x)

[stapel_eliz]

1) Given f(x) = 2(squareroot of) x+1 and g(x) = (squareroot of) 2x-1 simplify 3(f+g)(2)

To learn how to "operate" on functions, try here.

Then evaluate f(2) and g(2), add the results, and multiply by 3.

2) Given f(x) = 1-x^2 and g(x) = 2x + 1 evaluate (g . F) (-2)

Assuming "(g.F)" means , then find g(-2) and f(-2), and multiply.

3) Given g(x) = (squareroot of) 3 - 2x and f(x) - |x-2| A) find g(f(x)) B) State if the composite functions exists

To learn how to compose functions, try here.

4) Given f(x) = X /(2-x) and g (x) = 3/(x) A) Find (f . g) (x) B) State any restrictrions

Multiply the two rational expressions. Check for the x-values which would cause division by zero.

5) G(x) = (-3/5)x + 2 and its inverse.

To learn how to find inverse functions, try here.