WebJul 20, 2015 · What is the inverse of the function: f (x) = 3x + 2? Precalculus Functions Defined and Notation Introduction to Twelve Basic Functions 1 Answer George C. Jul 20, 2015 f −1(y) = y − 2 3 Explanation: Let y = f (x) = 3x + 2 Solve for x ... Subtract 2 from both ends to get: y − 2 = 3x Divide both sides by 3 to get: x = y −2 3 Hence f −1(y) = y −2 3 WebFeb 7, 2013 · Your function x^2+x looks like not-complete standart quadratic equation. a^2+2ab+b^2. (where a^2=x^2, 2ab=x, but missing b^2), if it would be complete we could write it as. (a+b)^2. To make it complete we add missing b^2, if our a=x and 2ab=x, then our b is 1/2. Our b^2 is 1/4, so we add it on both sides:
what is the inverse of f(x) = x^2 + 2 ? Wyzant Ask An Expert
WebIf f(x) says to multiply by 2 and then add 1, then the inverse f(x) will say to subtract 1 and then divide by 2. If you want to think about this graphically, f(x) and its inverse function will be reflections across the line y = x. To find the inverse of a function you just have to switch the x and the y and then solve for y. WebAug 21, 2016 · Yes, however, finding the inverse of a cubic function is very difficult. You can find the inverse of a quadratic function by completing the square. Finding the inverse of a simple cubic function, for example, f (x) = x^3 is easy. But finding the inverse of f (x) = x^3 + 5x^2 + 2x - 6 is very difficult, if not impossible. ( 11 votes) Show more... project lowes patio furniture
#20. Find the Inverse Function of f(x) = (7x + 5)/(x - 2) - YouTube
WebAlgebra Examples. Write f (x) = x2 − 16 f ( x) = x 2 - 16 as an equation. Interchange the variables. Solve for y y. Tap for more steps... Replace y y with f −1(x) f - 1 ( x) to show … WebHere's the algebra for finding that inverse, starting with the original function: \small { y = \dfrac {-2} {x - 5} } y = x−5−2 I multiply the denominator up to the left-hand side of the equation: y ( x − 5) = −2 I take the y through the parentheses: xy − 5 y = −2 I get the x -stuff by itself on one side of the "equals" sign: xy = 5 y − 2 WebFind the Inverse y=7x^2-3. y = 7x2 − 3 y = 7 x 2 - 3. Interchange the variables. x = 7y2 −3 x = 7 y 2 - 3. Solve for y y. Tap for more steps... y = √7(x+3) 7 y = 7 ( x + 3) 7. y = − … project loyalty