Answer:
g^-1(x) = (x - 5)/-6
Step-by-step explanation:
g^-1(x) refers to an inverse function. To find any inverse function, we must replace g(x) with x and x with g(x). We can then solve for the new g(x) and that would be the composite function.
g(x) = -6x + 5 ------> Swap x and g(x)
x = -6g(x) + 5 -----> Subtract 5 from both sides
x - 5 = -6g(x) ------> Divide by -6
(x - 5)/-6 = g(x)
To get 1% of $19.99 we can move the decimal place two spots to the left. This leaves us with .2 rounded. Then multiply .2 x 6 because its a 6% sales tax. This gives an answer of $1.2. The sales tax on the pair of jeans is an additional $1.20.
Equation of a line through two points is given by y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
y - 7 = ((10 - 7)/(2 - (-1)))(x - (-1))
y - 7 = (3/(2 + 1))(x + 1)
y - 7 = 3/3 (x + 1)
y - 7 = x + 1
-x + y = 1 + 7
-x + y = 8
Answer:
x = 5 + sqrt(y+25), for x>=5
x = 5 - sqrt(y+25), for x<=5
Step-by-step explanation:
y = x^2 - 10x + 25 - 25
y = (x-5)^2 - 25
y+25 = (x-5)^2
x-5 = +/-sqrt(y+25)
And you get TWO inverses:
x = 5 + sqrt(y+25), for x>=5
x = 5 - sqrt(y+25), for x<=5