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For the given functions f and g, find the following. For parts (a)–(d), also find the domain.

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For the given functions and g, find the following. For parts (a)–(d), also find the domain.

(a) (f + g) (x)         (b) (f - g) (x)         (c) (f . g) (x)        (d)  (f / g) (x)

f (x) = x - 1;  g (x) = 2x2

 

asked Jan 8, 2015 in PRECALCULUS by anonymous

2 Answers

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Step 1:

The functions are image and  image.

(a)

Find the value of  image.

image

image

All possible values of x is domain of the function.

The function image is defined for all values of x .

The domain of image is image.

Step 2:

(b)

Find the value of image.

image

image

All possible values of x is domain of the function.

The function image is defined for all values of x .

The domain of image is image.

Solution:

(a) The domain of image is image.

(b) The domain of image is image.

answered Jan 9, 2015 by Sammi Mentor
0 votes

Step 1:

The functions are image and  image.

(c)

Find the value of image.

image

image

All possible values of x is domain of the function.

The function image is defined for all values of x .

The domain of image is image.

Step 2:

(d)

Find the value of image.

image

image

All possible values of x is domain of a function.

The denominator of a function should not be zero.

image

The domain of image is image.

Solution:

(c) The domain of image is image.

(d) The domain of image is image.

 

answered Jan 9, 2015 by Sammi Mentor

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