Simplify the complex rational expression
2 answers:
Answer:
2( x +2 )
<em>x+1</em>
Step-by-step explanation:
to add or subtract expressions expand them to make their denominators the same, multiply 1 time
since and
have the same denominators add them by adding their numerators
combine x + x -2
factor - 4
to add or subtract expressions expand them and multiply by 1
have same denominator add them by adding their numerators
do the multiplications in 3 + ( x-2 )(x+2)
combine like terms in 3 + + 2x - 2x -4
divide by
multiplying
cancel out x-2 in both numerator and denominator
factor the expression that are not already factored
cancel out x-1 in both numerator and denominator
expand the expression
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Given that
And
Comparing both functions we see that g(x) is 3 times more than f(x) so we can write:
g(x)=3 f(x)
Now using g(x)=3 f(x), we have to tell what type of transformation occurs from f(x) to g(x).
Remember that when some number is multiplied with f(x) then that either compresses or stretches the given function.
when multiplied number is greater than 1 the it creates stretch.
in g(x)=3 f(x), we see that multiplied number 3 is more than 1 so that indicates stretch.
Hence choice D) g(x) stretches vertically by factor of 3. is correct.