Function: g(x) = 2x2 – 8

for x ≥ 0, the inverse function is f(x)= √
1
2
x + 4

for x ≤ 0, the inverse function is d(x)= – √
1
2
x + 4

a 3-column table has 3 rows. the first column is labeled x with entries negative 8, 0, 10. the second column is labeled f (x) with entries 0, r, s. the third column is labeled d (x) with entries q, negative 2, t.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )