Mathematics, 03.01.2021 04:10 paiged55

What is the inverse of the function f(x) = 2x - 10?

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Answer from: reneebrown017

f⁻¹(x) = (x + 10)/2

General Formulas and Concepts:

Algebra I

Equality PropertiesInverse Functions

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 10

Step 2: Rewrite

Redefine: y = 2x - 10Swap x/y: x = 2y - 10

Step 3: Find Inverse

Solve for the new y.

Add 10 to both sides: x + 10 = 2yDivide 2 on both sides: (x + 10)/2 = yRewrite: y = (x + 10)/2Redefine: f⁻¹(x) = (x + 10)/2

Answer from: Quest

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf =

pf = 6,25 u

ver más en -

step-by-step explanation:

Answer from: Quest

The answer would he -4,-2 because the points are just on the opposite side. since the x axis is +4 it's going to he -4 and since the y axis is -2 it stays there because whaen rotated it stays in the third quadrant
Hello! could someone with this problem?

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