For the given functions f and g, find the requested composite function value.

1) f(t) = t⁴ + 6t² + 9,g(t) = t + 3/3 ; Find (f g)(3).

For the given functions f and g, find the indicated composition.

2) f(x) = 4x² + 5x + 8, g(x) = 5x - 7 (gf)(x)

Find the inverse of the one-to-one function.

3) f(x) = 5/ 3x + 2

Solve the problem.

4) To remodel a bathroom, a contractor charges $30 per hour plus material costs, which amount to $4350. Therefore, the total cost to remodel the bathroom is given by f(x) = 30x + 4350 where x is the number of hours the contractor works. Find a formula for f -¹(x). What does f -¹(x) compute?

Solve the radical equation, and check all proposed solutions.

5) x + 6 + 2 - x = 4

Solve and check the equation.

6) _x3/2 = 8

Graph the function.

7) g(x) = - x + 2 + 2

8) Use the graph of f(x) = 3^x to obtain the graph of g(x) = 3^x+1 -2