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
  • x ≠ -3
  • 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
  • x ≠ -8
  • x > 1

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
  • x ≠ -1
  • 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
  • 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
  • x ≠ -4
  • 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
  • x ≠ -6
  • 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
  • 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
  • x > 1
  • x ≠ -8


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
  • 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
  • x > 5
  • x ≠ -4

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
  • x ≠ -5
  • x > 3

Decompose (x – 13)/((x + 1)(x + 8)) into partial fractions.

  • 1/(x + 1)
  • -2/(x + 1) + 3/(x + 8)
  • -2/(x + 8) – 3/(x + 1)
  • 3/(x + 1) + -2/(x + 8)
  • -2/(x + 1) + 3/(x + 8)

Decompose (-4)/((x + 2)(x + 6)) into partial fractions.

  • 1/(x + 2) + -1/(x + 6)
  • -1/(x + 2) + 1/(x + 6)
  • -1/(x + 6) – 1/(x + 2)
  • 0/(x + 2)
  • -1/(x + 2) + 1/(x + 6)

Decompose (3*x + 30)/((x + 6)(x + 8)) into partial fractions.

  • 3/(x + 6)
  • -3/(x + 6) + 6/(x + 8)
  • 6/(x + 6) + -3/(x + 8)
  • 6/(x + 8) – -3/(x + 6)
  • 6/(x + 6) + -3/(x + 8)

Decompose (x + 8)/((x + 4)(x + 6)) into partial fractions.

  • 1/(x + 4)
  • 2/(x + 6) – -1/(x + 4)
  • -1/(x + 4) + 2/(x + 6)
  • 2/(x + 4) + -1/(x + 6)
  • 2/(x + 4) + -1/(x + 6)

Decompose (3*x + 5)/((x + 1)(x + 2)) into partial fractions.

  • 2/(x + 1) + 1/(x + 2)
  • 2/(x + 2) – 1/(x + 1)
  • 1/(x + 1) + 2/(x + 2)
  • 3/(x + 1)
  • 2/(x + 1) + 1/(x + 2)


Decompose (5*x + 11)/((x + 2)(x + 3)) into partial fractions.

  • 1/(x + 3) – 4/(x + 2)
  • 5/(x + 2)
  • 1/(x + 2) + 4/(x + 3)
  • 4/(x + 2) + 1/(x + 3)
  • 1/(x + 2) + 4/(x + 3)

Decompose (-6*x – 40)/((x + 6)(x + 8)) into partial fractions.

  • -2/(x + 6) + -4/(x + 8)
  • -6/(x + 6)
  • -4/(x + 6) + -2/(x + 8)
  • -2/(x + 8) – -4/(x + 6)
  • -2/(x + 6) + -4/(x + 8)

Decompose (4*x + 14)/((x + 2)(x + 8)) into partial fractions.

  • 3/(x + 2) + 1/(x + 8)
  • 1/(x + 8) – 3/(x + 2)
  • 1/(x + 2) + 3/(x + 8)
  • 4/(x + 2)
  • 1/(x + 2) + 3/(x + 8)

Decompose (x + 15)/((x + 3)(x + 5)) into partial fractions.

  • -5/(x + 3) + 6/(x + 5)
  • 1/(x + 3)
  • 6/(x + 3) + -5/(x + 5)
  • 6/(x + 5) – -5/(x + 3)
  • 6/(x + 3) + -5/(x + 5)

Decompose (-2*x – 6)/((x + 4)(x + 5)) into partial fractions.

  • 2/(x + 4) + -4/(x + 5)
  • -2/(x + 4)
  • 2/(x + 5) – -4/(x + 4)
  • -4/(x + 4) + 2/(x + 5)
  • 2/(x + 4) + -4/(x + 5)

Decompose (7*x + 26)/((x + 2)(x + 4)) into partial fractions.

  • 1/(x + 2) + 6/(x + 4)
  • 6/(x + 2) + 1/(x + 4)
  • 6/(x + 4) – 1/(x + 2)
  • 7/(x + 2)
  • 6/(x + 2) + 1/(x + 4)