F(x)=5/x
g(x)=2(x^2)+5x
f(x) has a domain of all real numbers excluding zero
g(x) has a domain of all real numbers
fog(x)=5/(2(x^2)+5x)
fog(x)=5/(x(2x+5))
fog(x) has a domain that excludes both zero and -5/2
Answer:
maya - 6 min per puzzle
amy - 7 min per puzzle
maya would finish first since her unit rate is smaller. for example, it takes maya 30 for 5 but it would take 35 for 5.
Step-by-step explanation:
Answer:
chord
Step-by-step explanation:
a chord is a line drawn from one part of a circle's circumference to another without passing through the centre.
If the line passed through the centre then it would be a diameter
Answer:
x = 27
Step-by-step explanation:
To isolate x, we can multiply it by the reciprocal of the fraction (-3/2). We do the same to the -18.
Through cross-multiplication, -18/1 x -3/2 simplifies into -9/1 x -3/1 (because 2 goes into 2 once and 2 goes into -18 -9 times).
-9 x -3 = 27; therefore, x = 27
Answer:
f^-1(x) = (x/8)^(1/5) is a function
Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 8x^5
x = 8y^5
x/8 = y^5
(5)√(x/8) = y
This is a fifth root of (x/7) also written in exponents as y = (x/8)^(1/5).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.
