Unit 5 Test Review - Fall 2021

What is the domain of the graph of the radical function?

• (-infinity, infinity)

• [-7, infinity)

• (0, infinity)

• [4, infinity)

Answer explanation

Remember that domain consists of all x-values from left to right. Always use () around infinity but [] around numbers that are included.

• y ≥ 5

• x ≥ -5

• All Real #s

• x ≥ 5

Answer explanation

Domain is all x values from left to right.

Solve the radical equation

• 9

• 82

• -9

• -82

Answer explanation

If you get stuck, type the equation with an x as the variable into desmos.com and check where the graph touches the x-axis.

Solve the equation.

• 36

• 18

• -18

• 27

Answer explanation

If you get stuck, type the equation with an x as the variable into desmos.com and check where the graph touches the x-axis.

√45x⁴y⁷

• 3x²y³√5

• 9x²y³√5y

• 3x²y³√5y

• 3x⁴y⁷

Answer explanation

Remember that every pair of 2 of the same quantity goes to the outside of the radical as one of that quantity.

Multiply, then simplify:

• A

• B

• C

• D

Answer explanation

Remember to multiply outsides, multiply insides then simplify.

What is the inverse of f(x) = x - 2

• f^-1 (x) = x + 2

• f^-1(x) = 2x

• f^-1(x) = x/2

• f^-1(x) = x - 2

Answer explanation

To find an inverse of the equation, change f(x) to y. Swap x and y. Then solve for y.

If f(x)= |x|+ 2 and g(x) = x - 4, find f(g(1)):

• -1

• 5

• -4

• 2

Answer explanation

Work from the inside out. Plug in 1 in place of every x in function g, get an answer, then take that answer to function f.

If f(x) = x² + 9 and

g(x) = x - 9,

find f(x) - g(x).

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Answer explanation

Distribute a negative to everything in g, then combine like terms.

If f(x) = 9 - 3x and

g(x) = 5x - 7,

find f(x) + g(x).

• 14x-10

• -8x+2

• 2x+2

• 2x-2

Answer explanation

Combine like terms.