Consider the following functions.

Algebra
Tutor: None Selected Time limit: 1 Day

f(x) = x2 + 5x,      g(x) = 7x2 − 1

Find 

(f + g)(x)

 Find the domain of (f + g)(x).

Find (f − g)(x).

Find the domain of (f − g)(x)

Find (fg)(x).

Find the domain of (fg)(x)

Find 

f
g
(x).

 

 Find the domain of 

f
g
(x).

 

Feb 23rd, 2015

(f + g)(x)=f(x)+g(x)=x^2 + 5x + 7x^2 − 1

                             =8x^2+5x-1

domain of (f + g)(x) is indefinite

(f − g)(x)=f(x)-g(x)=x^2 + 5x-(7x^2 − 1)

                            =-6x^2+5x+1

domain of (f − g)(x) is indefinite

(fg)(x)=f(x)*g(x)=(x^2 + 5x)(7x^2 − 1)  

                         =7x^4+35x^3-x^2-5x

domain of (fg)(x) is indefinite

f/g (x)=f(x)/g(x)=(x^2 + 5x)/(7x^2 − 1)

The domain of f/g (x) is 7x^2 − 1 is not equal to 0, or x /=1/sqrt(7) and -1/sqrt(7)


Feb 23rd, 2015

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