What is the inverse function f(x)=2x +1
1 answer:
The inverse function is f(x) =
You can find the inverse of any function by switching the f(x) value and the x value. Then solve for the new f(x) value. The result will be your inverse function. Below is the step-by-step process for solving this one.
f(x) = 2x + 1 ---> Switch the f(x) and x values
x = 2f(x) + 1 ---> Subtract 1 from both sides
x - 1 = 2f(x) ----> Divide each side by 2.
= f(x) ---> Switch the order so that it looks like a function.
f(x) =
And that would be your inverse function.
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Now, to find the value of the angle x, we will need a
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adjacent side of it; that trigonometric function is tangent. Remember that
We know for our diagram that the opposite side of Victor's angle of inclination, x, is the height of the building (45m), and the adjacent side of it is the distance between Victor and the building (20m). Now we can replace the values in our tangent equation to get:
But we need to find the value of x not the value of tangent, so we are going to use the inverse function of tangent, arctangent (arctan)
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We can conclude that Victor's angle of inclination from he stands to the top of the building is 66°.
