ANSWER

EXPLANATION
The given function is:

and



To find g(f(-1)), we substitute x=-1, to obtain;

We simplify the square in the denominator to get,

We now add the denominator to obtain;

Answer: correct.
Step-by-step explanation:
Answer:
y= 3x+ 1
Step-by-step explanation:
-3x + 2y =2
+3x +3x
---------------------
2y = 3x +2
----- --------
2 2
y = 3x + 1
Answer:
x = 5
Step-by-step explanation:
20(20-x)=300
1. Divide both sides by 20.
20(20-x)/20 = 300/20
2. Simplify.
20-x=15
3. Subtract 20 from both sides.
20-x-29=15-20
4. Simplify.
-x=-5
5. Divide both sides by -1.
-x/-1 = -5/-1
6. Simplify.
x=5
The explicit rule for given sequence is:

Further explanation:
We have to determine first of all if the sequence is arithmetic or geometric.
- If the difference of two consecutive terms is same then the sequence is arithmetic sequence
- If the ratio of two consecutive terms is same then the sequence is geometric sequence
Given sequence is:
12,22,32,42

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:

Putting the values of a1 and d

The explicit rule for given sequence is:

Keywords: Arithmetic sequence, Common Difference
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