SpletSince f (x) is a linear to linear function, we know that: f (x) = (ax+ b)/(x+c) Substituting, we have: f (1) = (a +b)/(1+c) = 1, or a+ b = 1+c ... Investigating the linearity between squares … SpletFind the Inverse f (x)=ax-b Mathway Algebra Examples Popular Problems Algebra Find the Inverse f (x)=ax-b f (x) = ax − b f ( x) = a x - b Write f (x) = ax−b f ( x) = a x - b as an equation. y = ax− b y = a x - b Interchange the variables. a = yx− b a = y x - b Solve for y y. Tap for more steps... y = a x + b x y = a x + b x
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SpletA linear function is a polynomial function in which the variable x has degree at most one: f ( x ) = a x + b {\displaystyle f(x)=ax+b} . Such a function is called linear because its graph , … SpletFind the least value of a such that the function f given by f(x) = x2+ax+1 is strictly increasing on (1,2). Solution Given, f(x) =x2+ax+1 ⇒f (x) =2x+a In interval (1,2), 1 <2 ⇒2< 2x< 4⇒ (2+a) <(2x+a) <(4+a) Since, f (x) is strictly increasing function, then (2+a) >0 [For this f (x) >0 and (2x+a) >(2+a)] ∴ (2+a) > 0⇒ a> −2. botswana life insurance
The least value of the function f(x) = abax+bx (where a > 0, b > 0, x ...
Splet30. mar. 2024 · Ex 6.2, 14 Find the least value of a such that the function f given by 𝑓 (𝑥) = 𝑥2 + 𝑎𝑥 + 1 is strictly increasing on (1, 2).We have f (𝑥) = 𝑥2 + a𝑥 + 1 And, f’ (𝑥) = 2𝑥 + a Given f is strictly … SpletTranscribed Image Text: Find the least squares approximation g(x) = a + a₁x of the function f, and use a graphing utility to graph fand g in the same viewing window. f(x) = 3 sinx, 0 ≤ … SpletThe least value of the function f x = a x + b x a > 0, b > 0, x > 0 is A a b B 2 a b C 2 b a D 2 a b Solution The correct option is D 2 a b Explanation for the correct option: Step 1: Calculate … hayfields contracting