. (lUptleeLf{x}=2xz—9and g(;;)=x+1
(a) Find the composite function (f o gjfic) and simplify the results. Show work. (In) Lotti o g) (— 1) . Show work. a 1
2.(10 pm) Let fEx) = 2:1 (a) Find 1" i, the inverse function off Show work. (In) What is the domain m 1What is the domain of the inverse function? 3. (ID pts}§g13;e the equation. Check all proposed solutions. Show work. «Ix—1:3—x 4. {10 pts)
(a) Simplify the following function: 10g; 1
1
{13) Let x I logg E State the exponential form of the equation. 1
(c) Determine the numerical value of lflgg E in simplest form. Show work. 5. (10 pts) Let f (I) = if _ l + 4. Answers can be stated without additional workfexplanafion. (a) Which describes how the graph off can be obtained fi'om the graph ofy = $13 Select one answer. A. Shiflthegraphgfl=axtotheleftbylunitandupbydlunits. B. Shift the graphofy= 3" to the right by 1 unit and up 1354 units. C. Reflect the graph 2L}! = 3" across the x—axis and shift up by 4 units.
D- Reflect the graph gill = 2" across the y—axis and shift up by 4 units. (13) What is the domain gffl (e) What is the range offl (d) What is the horizontal asymptote? (e) What is the y—intercept? State the approximation to 2 decimal places (i.e., the nearest hundredth].

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