Lien is given a data table representing a set of x-values and the corresponding y-values for the function f(x), as shown below. she is asked to determine, from the data given, a point on the inverse function of f(x).
x y
−9 −11
−1 −4
4 1
lien makes the claim that (−11,−9) is a point on the inverse function of f(x).

which statement describes why lien's claim is true or false?
a
lien's claim is correct because a point on the inverse function is the same as the point on f(x) only the x- and y-values are reversed.

b
lien's claim is incorrect because the point should be (−9,−11) because a point on the inverse function is the same as the point on f(x).

c
lien's claim is incorrect because the points on the inverse function are not related to the points on f(x) and therefore will have different values and signs.

d
lien's claim is incorrect because the point should be (9,11) because a point on the inverse function has the same values but opposite signs as the point on f(x).

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb