Answer:
(a) (f+g)(x) = √(2x) +x²
(b) (f-g)(x) = √(2x) -x²
(c) (f·g)(x) = x²√(2x)
(d) (f/g)(x) = (√(2x))/x²
Step-by-step explanation:
These are all about the meaning of the notation (f <operator> g)(x). When the operator is an arithmetic operation (addition, subtraction, multiplication, division), the notation means the same thing as ...
f(x) <operator> g(x)
__
(a) (f+g)(x) = f(x) + g(x)
(f+g)(x) = √(2x) +x²
__
(b) (f-g)(x) = f(x) -g(x)
(f-g)(x) = √(2x) -x²
__
(c) (f·g)(x) = f(x)·g(x)
(f·g)(x) = x²√(2x)
__
(d) (f/g)(x) = f(x)/g(x)
(f/g)(x) = (√(2x))/x²
Answer:
when adding fractions make sure the bottom number is the same
so for number 2 make sure both are 4 on the bottom of the fraction by multiplying by 2 maybe 1/4+2/4 that would equal 3/4 not 1
The first investor you invested $180,000 the second $270,000 and the third $450,000.
Solution:
2+3+5=10
900,000/10=90,000
90,000x2=180,000
90,000x3=270,000
90,000x5=450,000
To multiply rational expressions you just multiply tops and multiply the bottoms so
5/2x+1 * 6/x = 30/2x^2+x
Step-by-step explanation:
a)
well, it is kind of written already :
228 miles and 6 gallons.
so, miles/gallon = 228/6 = 38 miles/gallon.
b)
it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.
so, again
38 miles/gallon
and he used 9 gallons.
so, he drove 38×9 = 342 miles