Functions

For f(x)=log(x – 6) + 1/(x + 4), which conditions must be satisfied? Select all correct options.

• x ≥ 6
• x < 6
• x = -4
• x ≠ -4
• x > 6
• x = 6

For f(x)=log(x – 4) + 1/(x + 6), which conditions must be satisfied? Select all correct options.

• x = 4
• x ≠ -6
• x < 4
• x = -6
• x ≥ 4
• x > 4

For f(x)=log(x – 1) + 1/(x + 8), which conditions must be satisfied? Select all correct options.

• x > 1
• x < 1
• x = -8
• x ≥ 1
• x = 1
• x ≠ -8

For f(x)=log(x – 1) + 1/(x + 8), which conditions must be satisfied? Select all correct options.

• x > 1
• x = -8
• x ≠ -8
• x = 1
• x ≥ 1
• x < 1

For f(x)=log(x – 8) + 1/(x + 3), which conditions must be satisfied? Select all correct options.

• x = 8
• x < 8
• x > 8
• x = -3
• x ≥ 8
• x ≠ -3

For f(x)=log(x – 5) + 1/(x + 4), which conditions must be satisfied? Select all correct options.

• x > 5
• x ≠ -4
• x = -4
• x = 5
• x ≥ 5
• x < 5

For f(x)=log(x – 3) + 1/(x + 5), which conditions must be satisfied? Select all correct options.

• x = -5
• x = 3
• x ≠ -5
• x ≥ 3
• x < 3
• x > 3

Let f(x)=2x+8. Which expression represents f^(-1)(x)?

• 2/(x – (8))
• (x + (8))/2
• (x – (8))/2
• (2x) – (8)

Let f(x)=-2x+-5 and g(x)=-1x+3. Find (f∘g)(-3).

• 2
• -22
• -17
• -15

Let f(x)=3x+8. Which expression represents f^(-1)(x)?

• (x – (8))/3
• 3/(x – (8))
• (3x) – (8)
• (x + (8))/3

Let f(x)=-3x+8 and g(x)=3x+0. Find (f∘g)(6).

• -43
• -30
• -46
• -38

Let f(x)=3x+3. Which expression represents f^(-1)(x)?

• (3x) – (3)
• (x + (3))/3
• 3/(x – (3))
• (x – (3))/3

Let f(x)=2x+-5 and g(x)=1x+-5. Find (f∘g)(-4).

• -25
• -18
• -23
• -28

Let f(x)=-3x+-2. Which expression represents f^(-1)(x)?

• (x + (-2))/-3
• (x – (-2))/-3
• -3/(x – (-2))
• (-3x) – (-2)

Let f(x)=2x+-7 and g(x)=1x+-4. Find (f∘g)(-4).

• -19
• -30
• -23
• -25

Let f(x)=2x+6. Which expression represents f^(-1)(x)?

• (x – (6))/2
• 2/(x – (6))
• (2x) – (6)
• (x + (6))/2

Let f(x)=2x+2 and g(x)=2x+6. Find (f∘g)(-2).

• 8
• 4
• 2
• 6

Let f(x)=4x+1. Which expression represents f^(-1)(x)?

• 4/(x – (1))
• (4x) – (1)
• (x – (1))/4
• (x + (1))/4

Let f(x)=4x+1 and g(x)=1x+-3. Find (f∘g)(6).

• 13
• 9
• 14
• 22

Let f(x)=4x+-7. Which expression represents f^(-1)(x)?

• (x + (-7))/4
• (4x) – (-7)
• 4/(x – (-7))
• (x – (-7))/4