You can find the inverse to any function by switching the x and f(x) values. After that, solve for the new f(x) value. The result will be the inverse function. The step-by-step process for this one is done below for you.

f(x) = 1/4x - 2 ----> Start by switching the f(x) and x

x = 1/4f(x) - 2 ----> Now add 2 to both sides

x + 2 = 1/4f(x) ----> Now multiply both sides by 4

f(x) = 4x + 8

Now that you've solved it for the new f(x), you have your inverse function.

3 0

3 years ago

If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet t seconds later is given by y = 46t − 16t2.

Zina [86]

Answer:

Step-by-step explanation:

you want maximum height reached?

$\frac{dy}{dt} =46-32t\\\\at max. height velocity=0\\ 0=46-32t\\32 t=46\\t=46/32=23/16\\y=t(46-16t)\\ at t=\frac{23}{16} \\ y=\frac{23}{16}(46-16*\frac{23}{16} )\\\\y=\frac{529}{16} ft$

8 0

2 years ago