Given the function f(x)=3x^2+2 is f^-1(x) a function

f^-1(x) is a function

Step-by-step explanation:

To get the inverse you replace f(x) with y, so you get y=3x^2+2. Then you switch your x and y to get x=3y^2+2. Now you want to solve for y, so you subtract two to get x-2=3y^2. You then divide both sides by 3 to get (x-2)/3=y^2. Finally you square root both sides to get y=√((x-2)/3). Now you get that f^-1(x)=√((x-2)/3). When you graph it you can see that the graph passes the vertical line test, so f^-1(x) is a function.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

15: 24

62.5%

step-by-step explanation: