Topic: Functions

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

• x ≥ 1
• x = 1
• x < 1
• x ≠ -5
• x = -5
• 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 = -3
• x = 8
• x ≥ 8
• x ≠ -3

For f(x)=log(x – 8) + 1/(x + 5), which conditions must be satisfied? Select all correct options.

• x > 8
• x = -5
• x < 8
• x ≥ 8
• x = 8
• x ≠ -5

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

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

For f(x)=log(x – 7) + 1/(x + 7), which conditions must be satisfied? Select all correct options.

• x = -7
• x ≥ 7
• x ≠ -7
• x > 7
• x = 7
• x < 7

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

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

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

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

For f(x)=log(x – 7) + 1/(x + 8), which conditions must be satisfied? Select all correct options.

• x < 7
• x = 7
• x = -8
• x > 7
• x ≥ 7
• x ≠ -8

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

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

For f(x)=log(x – 7) + 1/(x + 3), which conditions must be satisfied? Select all correct options.

• x ≥ 7
• x ≠ -3
• x = -3
• x = 7
• x > 7
• x < 7

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

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

For f(x)=log(x – 2) + 1/(x + 3), which conditions must be satisfied? Select all correct options.

• x ≥ 2
• x < 2
• x = -3
• x > 2
• x = 2
• x ≠ -3

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