Answer:
The graph of f(x) passes through (1,1) , (2,1.4...), (3,1.7....),(4,2)......
As, this curve is not linear.
To find the graph of a inverse function if a function is given
As we can see that ,
√1=1
√2=1.414..
√3=1.732..
√4=2
it means, √x=y is f(x).
So, to find the inverse of f(x), follow the procedure
Squaring both sides
Replace x by y and y by x to get inverse of f(x)
So,there will be two inverses of f(x)
1. x=√y
2. x= -√y
Domain of g(x)∈[0,∞], means y≥0.
Option A, 2nd graph below. and Option B. 3 rd Graph below is true regarding graph of g(x).
Explanation is given step by step just below:
tan(theta(t))=y(t)/x(t)
differentiate
sec^2(theta(t))*theta'(t)=y'(t)x(t)-y(t)x'(t)/x^2(t)
thus
theta'(t)=(y'(t)x(t)-y(t)x'(t))
divided by (x^2(t)*sec^2(θ(t))
ANSWER
The next two terms are
338, 434
EXPLANATION
The given sequence is 14,38,74,122,182,254
Let us observe some pattern and use it to find the next two terms.
14+24=38
38+36=74
74+48=122
122+60=182
182+72=254
To get the next term we add 84 to 254
254+84=338
To get the next term,we add 96 to 338
338+96=434
Answer:
98
Step-by-step explanation:
Step 1: Define
2(x + y)²
x = 3
y = 4
Step 2: Substitute and Evaluate
2(3 + 4)²
2(7)²
2(49)
98
2/3x = 46
2x = 46x3
2x= 138
x=138/2
x= 69