The coordinates of the vertices of △DEF are D(2,3),E(4,0), and F(1,−2). The coordinates of the vertices of △TVW are T(0,3), V(−2,0), and W(1,−2).Which series of transformations correctly shows that △DEF≅△TVW?a reflection over the y-axis and a translation 2 units righta reflection over the x-axis and a translation 2 units downa reflection over the x-axis and a translation 2 units up Get tutor help
6. AC=[2005],=⎣⎡378152496⎦⎤,B=[378],D=⎣⎡159⎦⎤Using the matrices above, match the matrices with the types listed below. You may use each matrix once, more than once or not at all. Give one example of each type.i) a Row matrixii) a Column matrixiii) a Diagonal matrixiv) a Square matrix[4] Get tutor helpAlgebraically verify whether f and g are inverses of each other or not:f(x)=−8+x, domain [8,∞)g(x)=−8+x2, domain [0,∞) Get tutor helpSuppose that the functions f and g are defined as follows.f(x)=x−1g(x)=x−6x−1Find gf. Then, give its domain using an interval or union of intervals.Simplify your answers.(gf)(x)=[Domain of gf:□\(\left[\left(\frac{\square}{\square}\right),\square^{\square},\left(\square,\square\right)\right],\left[\left[\square,\square\right],\square\cup\square,\left(\square,\square\right]\right],\left[\left[\square,\square\right),\varnothing,\infty\right],\left[-\infty,\square\right],\left[x\neq\square\right]:\} Get tutor helpGraph the function. Give the domain and the vertical asymptote.f(x)=log4(x+4)domain: (−4,∞);x=−4domain: (−2,∞);y=−4domain: (−∞,∞);x=−4domain: (0,∞);x=4 Get tutor help
