Answer:
Step-by-step explanation:
Given:
Rewrite the function so it is a <u>rational function</u>
Convert the mixed numbers to improper fractions:
Make the denominators the same:
Combine:
The inverse of a function is its <u>reflection in the line y = x</u>
To <u>find the inverse</u>, make x the subject
Replace f(x) with y:
Replace x with and y with x:
If necessary, convert back into the same format as the original function:
The x-intercept of the inverse function is the point at which it crosses the x-axis, so when
Therefore, the x-intercept is:
First expression: (2+f)15
Second expression: 2×15+f×15
Answer: $30+15f
<span>584 1/4 minus 18 3/4 equals 565 1/2</span>
Answer:
a = 1/25
Step-by-step explanation:
The vertex form of the parabola is
y = a(x-h)^2 +k
where (h,k) is the vertex
y = a(x-2)^2 -4
We have a point on the parabola (-3,-3) so substitute this into the equation
-3 = a(-3-2)^2 -4
-3 = a(-5)^2 -4
Add 4 to each side
-3+4 = a(25) +4-4
1 = 25a
Divide each side by 25
1/25 = a
y = 1/25(x-2)^2 -4