You can
put this solution on YOUR website!1. Given some function f(x), to find f(a) just replace x with a in the function and do the arithmetic.
2. The domain of a function is the set of values for which the function is defined. For the function
, F is defined everywhere except where the denominator in the fractional term becomes zero, in other words,
{x | x is a real number,
}, or in interval notation: (
,
) U (
,
)
3.
;
You have an expression for x in the first equation, so substitute it for x in the second equation.
Now solve for y:
Substitute this value for y into the first equation:
Your solution set is (3,0)
4. You aren't given a method to use, but this one can be done by Gaussian Elimination.
and
Multiply the first equation by 2
Add the second equation to the first:
Solve for x:
Substitute this value for x into either equation:
Solve for y
Your solution set is (3,1)
You can do the other two problems the same way.
