Find the inverse of the function. Is the inverse a function? f(x) = (x − 2)2

Step-by-step explanation:

Given function is,

f(x) = (x - 2)²

Step - 1

Rewrite the function in the form of a equation.

y = (x - 2)²

Step - 2

Interchange the variables 'x' and 'y',

x = (y - 2)²

Step - 3

Solve the equation for y,

x = (y - 2)²

y - 2 = √x

y = 2 + √x

Step - 4

Rewrite the equation in the form of a function,

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

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