To find the inverse of a trigonometric function, it pays to know about all the trig functions and their inverses. For example, if you want to find the inverse of y = sin(x), you need to know that the inverse of the sine function is the arcsine function; no simple al...
How to Find the Inverse of a Rational Function Example 1 Letf(x)=6x+2. Find the inverse. Step 1:To determine whether the given function has an inverse, we graph it, and perform the horizontal line test. We see that we cannot draw a horiztonal line anywhere on the graph, such that...
Definition Acrsine represents this equation: if y is the sine of θ, then θ is the arcsine of y. The arcsine is the inverse of the sine function. Function To calculate arcsin, press the "2nd" button and then the "sin" button. This will produce the "sin^-1" button. Enter the va...
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Suppose you are asked to find the inverse of the function given this graph: Note that I have NOT told you what that function is. To get started finding the inverse, draw the reflection line: (It would be a good idea to use a ruler for this; you'll want to be neat.) ...
Graphing the Inverse of a Cubic and Cube Root Function Given its Graph Step 1:Verify that the function is one-to-one by using the horizontal line test. If it is, then find coordinates of some points on the graph of the original function. If the function is not one-to-on...
1. How do you find the inverse of a function? To find the inverse of a function, you can switch the x and y variables and then solve for y. The resulting equation will be the inverse function. 2. Can all functions have an inverse?
Graphs of Logarithmic Functions Graph g(x) = log3x It is the inverse of y = 3x Therefore, the table of values for g(x) will be the reverse of the table of values for y = 3x. y = 3x x y -1 1/3 1 3 2 9 y= log3x x y 1/3 -1 1 3 9 2 Domain? (0,) ...
Become a Study.com member to unlock this answer!Create your account View this answer To find the convexity of a functiony=f(x),we will determine the values ofxwhere the second... See full answer below. Learn more about this topic: ...
The graph of function f is shown below. The zeros of a function are the x coordinates of the x intercepts of the graph of f. Example 3 Find the zeros of the sine function f is given by f(x) = sin(x) - 1 / 2 Solution to Example 3 Solve f(x) = 0 sin (x) - 1 / ...