<h2>
Steps:</h2>
Here are the steps to convert an equation to its inverse:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)
Firstly, do the first two steps:
Next, let's solve for y. Subtract 3 on both sides:
Next, divide both sides by 4:
<h2>Answer:</h2>
Finally, change y to f^-1(x) and your final answer will be:
, or <u>the second option.</u>
Answer:
X=-1/2
Y=3/4
Step-by-step explanation:
We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
Answer: 3.87132498658 in other words 3.871
Step-by-step explanation: