Answer:
f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2
Step-by-step explanation:
Answer:
The awnser is eleven hope this helps a bit
Let the function be represented by f(x).
Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:
f(x) = 4x - 2
Finding the inverse function:
Replace f(x) by y, and isolate x on one side of the equation and find the inverse:

Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.
Answer:
Karen: 15; Dale: 9; Tom: 60
Step-by-step explanation:
"Karen and Dale and Tom sent a total of 84 messages during the weekend."
k + d + t = 84
"Dale sent six fewer messages than Karen"
d = k - 6
"Tom sent four times as many as Karen."
t = 4k
Substitute k - 6 for d and 4k for t in the first equation.
k + d + t = 84
k + k - 6 + 4k = 84
6k - 6 = 84
6k = 90
k = 15
d = k - 6 = 16 - 6 = 9
t = 4k = 4(15) = 60
Answer: Karen: 15; Dale: 9; Tom: 60
A) 20.9
b) (230 + x) / 12 = 22
230 + x = 264
x = 34 years old