The function f(x) = 5()x is reflected over the y-axis. which equations represent the reflected function? check all that apply.

f(x) = (5)x

f(x) = (5)–x
f(x) = ()x
f(x) = 5()–x
f(x) = 5(5)x
f(x) = 5(5)–x

The correct option is D.  f(x) = 5()-x

Step-by-step explanation:

If a function f(x) is reflected over axis then the resultant equation of the function f(x) changes to f(-x)

Now, in the given problem the function is given to be : f(x) = 5()x

So, if we reflect the given function f(x) over the y- axis then the equation of the function changes to f(-x)

Hence, The required reflected equation of the given function f(x) is 5()-x

Therefore, The correct option is D.  f(x) = 5()-x

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2