F(x) = 4x - 9
let f(x) = y, this implies that x = f⁻¹(y)
y = 4x - 9 Let us solve for x.
4x - 9 = y
4x = y + 9
x = (y + 9)/4
Recall that x = f⁻¹(y),
x = (y + 9)/4
f⁻¹(y) = (y + 9)/4
That means that for f⁻¹(x)
f⁻¹(x) = (x + 9)/4
Hope this explains it.
Here hope this helps best of luck :)
Answer: y = 23x - 62
<u>Step-by-step explanation:</u>
Parallel lines have the same slope.
y = 23x + 4
m=23 b=4
Input x = 3, y = 7, & m = 23 into the Point-Slope formula to find the equation or the Slope-Intercept formula to find b (you already have m). I will choose the latter.
y = mx + b
7 = 23(3) + b
7 = 69 + b
-62 = b
m = 23, b = -62 --> y = 23x - 62
Answer:
Step-by-step explanation:
V = volume
r = rate
t = time
Use formula 
connecting volume, rate and time.
In your case,
cup of water
hours
r is unknown.
Substitute all data into the formula:
![\dfrac{1}{4}=r\cdot 1\dfrac{1}{2}\\ \\\dfrac{1}{4}=r\cdot \dfrac{3}{2}\\ \\2\cdot \dfrac{1}{4}=3r\ [\text{Multipled by 2}]\\ \\3r=\dfrac{1}{2}\\ \\r=\dfrac{\frac{1}{2}}{3}\ [\text{Divided by 3}]\\ \\r=\dfrac{1}{6}\ \text{cups per hour}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C2%5Ccdot%20%5Cdfrac%7B1%7D%7B4%7D%3D3r%5C%20%5B%5Ctext%7BMultipled%20by%202%7D%5D%5C%5C%20%5C%5C3r%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B3%7D%5C%20%5B%5Ctext%7BDivided%20by%203%7D%5D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B1%7D%7B6%7D%5C%20%5Ctext%7Bcups%20per%20hour%7D)
