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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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Answer:
Linear Function
Step-by-step explanation:
Given
The table showing values of x and y
Required
Determine the type of function
To determine the type of function, the table represents;
One will need to determine the table equation.
Start by solving for the slope;
When x - 0; y = 0 and When x = 80; y = 60.
This gives
The formula is determine as follows;
When x - 0; y = 0; m = 3/4; This gives
Open Bracket
The above is an example of a linear equation.
<em>Hence; option B answers the question</em>