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2. (16 pts) Let 3 4 7 xxf
(a) Find f 1 , the inverse function of f. Show work.
(b) What is the domain of f ? What is the domain of the inverse function?
(c) What is f (2) ? f (2) = ______ work/explanation optional
(d) What is f 1 ( ____ ), where the number in the blank is your answer from part (c)? work/explanation optional
3. (8 pts) (a) log 1=_______ (fill in the blank) (b) Let =log State the exponential form of the equation. (c) Determine the numerical value of log , in simplest form. Work optional.
4. (10 pts) Let f (x) = 5x2 – 3x – 12 and g(x) = 3x + 2 (a) Find the composite function ( )() and simplify the results. Show work.
(b) Find ( )(−1) . Show work.
5. (4 pts) Convert to a logarithmic equation: 7x = 2401. (no explanation required) 2. ______ A. log7=2401 B. log2401=7 C. log=2401 D. log2401=x 6. (4 pts) Which of these graphs represent a one-to-one function? Answer(s): ____________ (no explanation required.) (There may be more than one graph that qualifies.)
