The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.
<h3>What is an inverse function?</h3>
A function that may convert into another function is known as an inverse function or anti-function.
If the function is f(x) = sinx + 2x + 1.
Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be
The derivative of f(x) will be
f'(x) = cos x + 2
Then the given value of a will be
a = 1
g(x) = f⁻¹(x)
put x = 0, then we have
f(0) = sin 0 + 2(0) + 1
f(0) = 1
Put x = 1, in the function f⁻¹(x). Then we have
f⁻¹(1) = 0
and
g(1) = 0
Then put a = 1, then we have
More about the inverse function link is given below.
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If general form means y=mx+b form then your answer would be B
The answer is <span>0.43 that is what i got</span>
Answer:
Options 1 and 4 are arithmetic
Step-by-step explanation:
Arithmetic means that you are adding or subtracting a number in a sequence.
For option 1, we are adding 2 every time.
-3 + 2 = -1 -1 + 2 = 1 1 + 2 = 3
For option 4, we are subtracting 7 every time.
32 - 7 = 25 25 - 7 = 18 18 - 7 = 11
Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.
2 * 3 = 6 6 * 3 = 18 18 * 3 = 54
Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.
1 + 2 = 3 (2 + 2 = 4) 3 + 4 = 7 (4 + 4 = 8) 7 + 8 = 15
If you want to check if (1,2) is a solution to the system, you have to plug the x and y values back into both equations. If they work for one equation, but not the other, than the coordinates are not a solution to the system.
3(1) - 4(2) = -5
3 - 8 = -5
-5 = -5
2 = 4(1) - 2
2 = 4 - 2
2 = 2
Since both of these checks are true, then (1,2) is a solution to the system.
