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Complete the square and write the equation in standard form. Then give the center and radius of the circle.x2 + y2 – 12x + 4y + 40 = 81

Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1.f(x) = x2 – 1, x ≥ 0

Evaluate the piecewise function at the given value of the independent variable.g(x) =; g(-2)

Use the graph to find the indicated function value.y = f(x). Find f(2).

Evaluate the function at the given value of the independent variable and simplify.f(x) = 3×2 + 2x + 3;f(x – 1)

For the given functions f and g , find the indicated composition.f(x) = x2 – 2x – 5, g(x) = x2 + 2x – 5(f∘g)(-5)

Given functions f and g, perform the indicated operations.f(x) = 4×2 – 9x,g(x) = x2 – 4x – 45Find .

For the given functions f and g , find the indicated composition.f(x) = x2 – 2x – 5, g(x) = x2 + 2x – 1(f∘g)(-2)

For the given functions f and g , find the indicated composition.f(x) = x2 + 2x + 1, g(x) = x2 – 2x – 1(f∘g)(5)

Find and simplify the difference quotient for the given function.f(x) = x2 + 2x – 7