Answer:
f(4) = 6
Step-by-step explanation:
f(x) = 3x - 6
f(4) = 3(4) - 6
f(4) = 12 - 6
f(4) = 6
The ladder resting against the house forms a triangle similar to the one in the image below
To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = x
b = 8
c = 34
^^^Plug these numbers into the theorem
solve for x
+ 64 = 1156
Subtract 64 to both sides
= 1092
Take the square root of both sides
x = √1092
This can be simplified to:
2√273
or
x ≈ 33.045...
The ladder reached roughly 33.05 ft up the wall of the building
Hope this helped!
~Just a girl in love with Shawn Mendes
Step-by-step explanation:
y = x² - 16
x² = y + 16
x = sqrt(y + 16) because x is non-negative.
Hence the inverse function is f^(-1)(x) = sqrt(x + 16). (A)