PLEASE ANSWER ALL THE FOLLOWING!!!!

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Explain the difference in how you approach figuring (g (x)) and g (f(x)). Use the following as an example to help in your explanation: f(X)=+x2 I g (x) = x2 For each of the following graphs determine if the inverse of the function is also a function. GRAPH A GRAPH B Create a logarithmic function in the form f(x) = log4(x + b) and find its inverse. Show all of your solution steps to earn full credit. Your answer must include: E e A logarithmic function with a base value for a and a constant value for b e Steps showing how you found your function's inverse e The inverse function stated In function notation, ' (x) A parabola has a vertex of (-4, 8) and opens up. Write the vertex equation of the parabola. What is the equation of the axis of symmetry for the parabola given by the equation 9x? = 18y? \fWrite the equation of the ellipse that is centered at (-4, -7) and contains the following points: Vertices: (-4, 0) and (-4, -14) Co- vertices: (-9, -7) and (1, -7)Write the equation of the hyperbola with a center at (0, 0), co-vertices along the minor axis at ( -10, 0) and (10, 0), and major axis with a length of 10.What is the equation of a circle centered at (5, 1) with a radius of 7? Complete the square to find the equation of the circle with the following equation. Y2+ 12y+ x% - 4x =41