ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-1 11/30/2019 Review FOR TEST 4-1 ALGEBRA II HONORS/GIFTED CHAPTERS 7 & 8 LOGARITHMS and RATIONAL STUFF

Simplify.

1)

2) Find the inverse of the function in the simplest form f(x) = 𝒍𝒐𝒈 𝟐 𝟒𝒙

2) f-1(x) = 𝟐 𝒙−𝟐

3) Solve.

2 (-2 is extraneous)

4) The number of plaque cells on John’s molar can be modeled by y=2500(1.02)t where y is the number of cells after t hours. What will be the number of plaque cells after 10 hours rounded to the nearest whole number?

4) 3047

Solve the equation. Round your answer to 4 decimal places. e4x + 6 = 14

5) 0.5199

6) The number of plaque cells on John’s molar can be modeled by y=2500(1.02)t where y is the number of cells after t hours. During which hour will the number of plaque cells reach 17,000?

6) 96th hour

7) Solve the equation : 𝒍𝒐𝒈 𝟐 𝒙 𝟐 +𝟐𝒙 =𝟑

7) x = -4, 2

8) Given f(x) = 8x and g(x) = log8x. Find (f ◦ g)(3)

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-1 11/30/2019 3 f(x) and g(x) are inverses.

9) Given the equation Find the coordinates of the removable discontinuity (hole). Find the equation of the vertical asymptote.

9)a) (-2, -1/5) b) y = 3

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 4-1 11/30/2019 S T U D Y Sections 8-3 to 8-6

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