Assignment:
Q1. The table gives the values of the functions f and g. Use the table to evaluate the expressions below. If there is not enough information given, state the information you would need to evaluate the expression.
x 0 1 2 3 4 5
3 5 0 2 1 4
2 7 1 5 3 0
a.] g(f(3))
b.] f(g(5) )
c.] f(g(1) )
Q2. Given(x)=(4+3√x)9, find functionsf, g, and h such thatr(x)=(f°g°h)(x).
Q3. Solve and show your work.
a.] 2.6(1.04)t=4.1
b.] 4(1.171)x=7(1.088)x
c.] log2?3+log2?x=log2?5+log2?(x-2)
Q4. Consider the circle x2+y2-6x-8y=0.
Find the point of intersection of the two tangent lines to the circle which pass through the points (0,0) and (6,0), respectively.
Provide complete and step by step solution for the question and show calculations and use formulas.