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

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

Postby Kayto on Thu May 07, 2009 3:21 am

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

Postby stripling_warrior on Thu May 07, 2009 4:51 am

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.
Last edited by stripling_warrior on Wed May 13, 2009 9:23 pm, edited 1 time in total.
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Re: Given f, g, find 3(f+g)(2), (g*f)(-2), g(f(x)), (f*g)(x),

Postby Kayto on Thu May 07, 2009 5:57 am

Yes sorry don't know how to do those symbols on here.
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Re: Given f, g, find 3(f+g)(2), (g*f)(-2), g(f(x)), (f*g)(x),

Postby Martingale on Thu May 07, 2009 6:38 am

The composition of functions

can be written using

(f\circ g)(x)
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  TOPIC_SOLVED

Postby stapel_eliz on Thu May 07, 2009 2:20 pm

Kayto wrote: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. :wink:

Kayto wrote: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.

Kayto wrote: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.

Kayto wrote: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.

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

To learn how to find inverse functions, try here.

:D
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