The value of f –1(13) is 4
<h3>How to determine the inverse value?</h3>
The table of values is given as:
x –4 0 2 5 9 13
f (x) –11 1 7 16 28 40
A linear function is represented as:
y = mx + b
Where b represents the y-intercept and m represents the slope
From the graph, when x = 0, y = 1.
This means that b = 1
So, we have
y = mx + 1
Also from the graph, when x = 2, y = 7.
So, we have:
7 = 2m + 1
Subtract 1 from both sides
7 - 1 = 2m + 1 - 1
Evaluate the difference
6 = 2m
Rewrite the above equation as:
2m = 6
Divide both sides of the equation by 2
m = 3
Substitute m = 3 in y = mx + 1
y = 3x + 1
The notation f –1(13) implies that y = 13
So, we have
13 = 3x + 1
Subtract by 1
3x = 12
Divide by 3
x = 4
Hence, the value of f –1(13) is 4
Read more about linear functions at:
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Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The equation for an upward opening parabola is
y = a(x-h)^2 +k
Where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x--3)^2 +-1
y = a(x+3)^2 -1
Put a point in to find a
(0,8)
8 = a(0+3)^2 -1
8 = a (3)^2 -1
Add 1 to each side
8+1 = a9
9=9a
Divide by 9
1 =a
y = (x+3)^2 -1
Answer:
2, 6, 10, 14
Step-by-step explanation:
For the first term, T1
n = 1
4n - 2 = 4 * 1 - 2
= 4 - 2
= 2
Second term, T2
n = 2
4*2 - 2
= 8 - 2
= 6
Third term T3
n = 3
4*3 - 2
12 - 2
= 10
Forth term T4
n = 4
4*4 - 2
= 16 - 2
= 14
Hence, the first four terms are 2, 6, 10, 14
