## The function g is defined by g(x) = 3x+4. Find g(z+3). I really need help with these Aleks assignments, can someone

Question

The function g is defined by g(x) = 3x+4.

Find g(z+3).

I really need help with these Aleks assignments, can someone help me with them?

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6 months 2021-07-18T00:32:29+00:00 1 Answers 3 views 0

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

g(x) = (x+3)/((x+2)(x-2)

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is “x = all x not equal to -2 or 2”.  In interval notation, the domain is:

(-∞,-2)U(-2,2)U(2,+∞)

On a number line, draw it as follows:

-∞ <======o=====o=======> +∞

-2            2

Step-by-step explanation: