For the given functions f and g , find the indicated composition.f(x) = 4x + 8,g(x) = 3x – 1(f∘g)(x)

Begin by graphing the standard absolute value function f(x) = . Then use transformations of this graph to graph the given function.g(x) = – 3

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

Find and simplify the difference quotient for the given function.f(x) = x2 + 6x + 2

Evaluate the piecewise function at the given value of the independent variable.g(x) =; g(-3)

For the given functions f and g , find the indicated composition.f(x) = 6x + 15,g(x) = 3x – 1(f∘g)(x)

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

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

For the given functions f and g , find the indicated composition.f(x) = 3x + 8,g(x) = 2x – 1(f∘g)(x)

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 – 2, x ≥ 0