WebAnswer (1 of 3): Let's say f(x) = y y = x-1/x+1 = x+1–1–1/x+1 =(x+1)-2/x+1 =1–2/x-1 => (y-1)(x-1)=-2 You can Easily see that the above expression is symmetric in x and y So, x=y-1/y+1 —>1 f(ax)=ax-1/ax+1 Substitute the value of x from eq. 1 and you will get the answer. I am not doing fi... Web22 mrt. 2024 · Calculate f (x2) 3. Putting f (x1) = f (x2) we have to prove x1 = x2 Putting f (x1) = f (x2) 1/x1 = 1/x2 x2 = x1 Hence, if f (x1) = f (x2) , x1 = x2 ∴ f is one-one Check onto f: R* → R* f (x) = 1/𝑥 Let y = f (x) , such that y ∈ R* y = 1/𝑥 Show that the function f: R* → R* defined by f (x) = 1/x is one-one and onto, where R* is the ...
Composition of Functions - Definition, Properties and Examples
Web30 mrt. 2024 · Find the inverse of the function f: [−1, 1] → Range f. (Hint: For y ∈ Range f, y = f (x) = 𝑥/ (𝑥 + 2) , for some x in [−1, 1], i.e., x = 2𝑦/ (1 − 𝑦) ) f (x) = x/ (x+2) Check one-one f (x1) = 𝑥1/ (𝑥1 + 2) f (x2) = 𝑥2/ (𝑥2 + 2) Rough One-one Steps: 1. Calculate f … WebIf F (x) = (x+1)/ (x-1), find (f of f) (x) MSolved Tutoring. 52.8K subscribers. Subscribe. 59. Share. 9.6K views 5 years ago. If F (x) = (x+1)/ (x-1), find (f of f) (x) Show more. Show … directions to oliver springs tennessee
Solve f^-1(x)=-x-1/x-2 Microsoft Math Solver
Web13 apr. 2024 · Q 2. Solve: 2log2 (x−1)>x+5 Q13. Solve: xlog5 x>5 Q14. Solve: (lo. Solution For QIO. Solve: 2log3 x−4logx 27≤5(x>1) QII. Let f(x)=log10 x2 ... Solution For QIO. … Webif f (x) = lo g (1 − x 1 + x ) and g (x) = 1 + 3 x 2 3 x + x 3 then (f (g (x)))) is equal to. Medium. View solution > View more. More From Chapter. Relations and Functions. View chapter > Revise with Concepts. Composition of Functions. Example Definitions Formulaes. Learn with Videos. Introduction to Composite Functions. 12 mins. Example on ... WebDivide f-2, the coefficient of the x term, by 2 to get \frac{f}{2}-1. Then add the square of \frac{f}{2}-1 to both sides of the equation. This step makes the left hand side of the … for what gaineth a man