What is the value of x?

x = 4 sqrt(2)

Step-by-step explanation:

This is a right triangle so we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = 4/x

Multiply x to each side

x sin 45 = 4/x *x

x sin 45 = 4

Divide each side by sin 45

x sin 45 / sin 45 = 4 /sin 45

x = 4/ sin 45

We know sin 45 = sqrt(2)/2

x = 4/ sqrt(2) /2

x = 8/ sqrt(2)

We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)

x = 8/ sqrt(2) * sqrt(2)/sqrt(2)

x = 8 * sqrt(2) /2

x = 4 sqrt(2)

Step-by-step explanation:

hope it's helpful

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph