WebChoice A is correct. Since g is an even function, g (-4) = g (4) = 8. Alternatively: First find the value of a, and then find g (-4). Since g (4) = 8, substituting 4 for x and 8 for g (x) gives 8 = … Web31 Jul 2024 · Given that \(g(x) = ax^2– 3x – b\) and g(5) = 0, and g(–2) = 0 and we need to find the value of ab Let's start with g(5). To find value of g(5) we need to substitute x=5 in …

Pure Mathematics Year 2 Functions

http://www.ece.uah.edu/courses/ee385/500ch4.pdf Web23 Mar 2024 · Find the function g : R → R such that gof= fog= IR Here g is the inverse of f Finding inverse of f f (x) = 10x + 7 Let f (x) = y y = 10x + 7 y – 7 = 10x 10x = y – 7 x = (𝒚 − 𝟕)/𝟏𝟎 … gedatsu church hawaii

Solve f(g(x))=g(f(x)) Microsoft Math Solver

Web4 7. The function f is defined by f : x ℘→ 2x – a , x ∈ℝ, where a is a positive constant. (a) Sketch the graph of y = f(x), showing the coordinates of the points where the graph cuts the axes. (2) (b) On a separate diagram, sketch the graph of y = f(2x), showing the coordinates of the points where the graph cuts the axes. (2) (c) Given that a solution of the equation … Web2 1 Find dy dx in each of the following cases: (i) y =x3e2x, [2] (ii) y =ln( 3+2x2) , [2] (iii) y = x 2x +1 [2] 2 The transformations R, S and T are defined as follows. R : reflection in the x … WebGiven random variable X, with density fX(x), and a function g(x), we form the random variable Y = g(X). We know that Y E[Y] yf (y)dyY (4-14) This requires knowledge of fY(y). We can express Y directly in terms of g(x) and fX(x). Theorem 4-1: Let X be a random variable and y = g(x) a function. The expected value of Y = ged atrium