The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9
<h3>How to determine the inverse of the function?</h3>
The function is given as:
f(x) = 9x + 7
Express f(x) as y
y = 9x + 7
Swap the positions of x and y in the above equation
x = 9y + 7
Subtract 7 from both sides
9y = x - 7
Divide through by 9
y = x/9 - 7/9
Express as an inverse function
f-1(x) = x/9 - 7/9
Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9
Read more about inverse functions at:
brainly.com/question/14391067
#SPJ1
<u><em>Answer</em></u>
<em>1.) 50 mistakes per test</em>
<em>2.) 8 girls per group</em>
<em>3.) 27 pages per hour</em>
<em>4.) $1.30 per banana</em>
<em>5.) $0.50 per pencils</em>
<em>6.) 13 points per game</em>
<em>7.) $1.25 per cup of tea</em>
<em>8.) 65 liters per hour</em>
<em>9.) 25 calls per hour</em>
<em>10.) 35 words per minute</em>
<em>11.) 8 miles per liter of gas</em>
<em>12.) 0.4 eggs per day</em>
<em>13.) $28 per hour</em>
<em>14.) 3.5 miles per hour</em>
<u><em>Step-by-step explanation:</em></u>
<em>*Hope this helped*</em>
<em />
F(x)= 1/4x the slope goes 0.25 upwards
Hey!
So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:
-3y + 4x = 9
-3y = -4x + 9
y = (4/3)x - 3
Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:
6 = (4/3)(-12) + b
6 = -16 + b
22 = b
Now that we know b, we have both the y-intercept and the slope so our equation would be:
y = (4/3)x + 22
