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Common Core Standard HSF-BF.B.4a Questions

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x–1) for x ≠ 1.

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4a
Find the inverse of f(x) = 4x + 7
  1. [math]f⁻¹(x) = (x + 7) / 4[/math]
  2. [math]f⁻¹(x) = (x - 7) / 4[/math]
  3. [math]f⁻¹(x) = 4x - 7 [/math]
  4. [math]f⁻¹(x) = x/4 - 7[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of f(x) = 7 - 4x?
  1. f⁻¹(x) = 7 + 4x
  2. [math]f⁻¹(x) = (x - 7) / 4[/math]
  3. [math]f⁻¹(x) = (7 - x) / 4[/math]
  4. [math]f⁻¹(x) = x / 4 - 7[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of [math]h(x) = 3 / (x - 2)[/math], x ≠ 2.
  1. [math](3/x) + 2 [/math]
  2. [math]3/(x+ 2)[/math]
  3. [math](x + 2)/3[/math]
  4. [math](3 + 2x)/x[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: [math]g(x) = 3sqrt(x + 5)[/math].
  1. g⁻¹(x) = x³ + 5
  2. [math] g⁻¹(x) = (x - 5)^3[/math]
  3. [math]g⁻¹(x) = 3sqrtx - 5[/math]
  4. g⁻¹(x) = x³ - 5
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of [math]k(x) = 1/(x − 4)[/math]?
  1. [math]k⁻¹(x) = 1/x + 4[/math]
  2. [math]k⁻¹(x) = 1/(x + 4)[/math]
  3. [math]k⁻¹(x) = (1 − 4x)/x[/math]
  4. [math]k⁻¹(x) = x/(1 + 4x)[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of [math]g(x)=-3x[/math].
  1. [math]g ^(-1) (x)=x+1[/math]
  2. [math]g ^-1 (x)=-3x-3[/math]
  3. [math]g ^-1 (x)=x-1[/math]
  4. [math]g ^-1(x)= -1/3 x[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = 5eˣ
  1. [math]f⁻¹(x) = ln(x/5) [/math]
  2. [math]f⁻¹(x) = ln(5x) [/math]
  3. [math]f⁻¹(x) = (eˣ )/ 5[/math]
  4. [math]f⁻¹(x) = ln(x) - 5[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = 6 − 2x
  1. [math]f⁻¹(x) = (x − 6) / 2[/math]
  2. [math]f⁻¹(x) = (6 − x) / 2[/math]
  3. f⁻¹(x) = 6 + 2x
  4. [math] f⁻¹(x) = 3 − x / 2[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of [math]g(x) = log_7(5x + 1)[/math].
  1. [math]g⁻¹(x) = 5(7^x) + 1[/math]
  2. [math]g⁻¹(x) = 7^x/5 - 1[/math]
  3. [math]g⁻¹(x) = (7^x - 1)/5[/math]
  4. [math]g⁻¹(x) = log_7(5x) + 1[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: [math]f(x) = 3e^x[/math].
  1. [math] f⁻¹(x) = ln(x/3)[/math]
  2. f⁻¹(x) = ln(3x)
  3. [math]f⁻¹(x) = e^(x/3[/math]
  4. f⁻¹(x) = lnx - 3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = x³ + 1.
  1. [math]f⁻¹(x) =3sqrt(x − 1)[/math]
  2. [math]f⁻¹(x) =3sqrt(x + 1)[/math]
  3. [math]f⁻¹(x) = (x − 1)^3[/math]
  4. f⁻¹(x) = x³ − 1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the function [math]g(x) = -4x + 1[/math].
  1. [math]g^(-1)(x) = 1 /(x+3) [/math]
  2. [math]g^(-1)(x) = 3 /(x+2) [/math]
  3. [math]g^(-1)(x) = 1 /(x+2) [/math]
  4. [math]g^(-1)(x) = (-x+1) /4 [/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of [math]f(x) = (x + 2) / 4[/math]?
  1. f⁻¹(x) = 4x - 2
  2. [math]f(x) = (x - 2) / 4[/math]
  3. f⁻¹(x) = 4x + 2
  4. [math]f(x) = (x + 2) / 4[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
What is the inverse of f(x) = 3x + 5?
  1. [math] f⁻¹(x) = (x - 5) / 3 [/math]
  2. [math] f⁻¹(x) = (x + 5) / 3 [/math]
  3. f⁻¹(x) = 3x - 5
  4. [math] f⁻¹(x) = (x/3 - 5) [/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of f(x) = √(x + 5), x ≥ -5.
  1. x² - 5
  2. √x - 5
  3. (x - 5)²
  4. x² + 5
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of: f(x) = √(x - 3), x ≥ 3.
  1. f⁻¹(x) = (x - 3)²
  2. f⁻¹(x) = √x + 3
  3. [math]f⁻¹(x) = x² + 3[/math]
  4. f⁻¹(x) = x² - 3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
If g(x) = (2x + 3)/(x − 1), find g⁻¹(x):
  1. [math]g⁻¹(x) = (x − 3)/(2 − x)[/math]
  2. [math]g⁻¹(x) = (x + 3)/(x − 2)[/math]
  3. [math] g⁻¹(x) = (x + 1)/(2x + 3)[/math]
  4. [math] g⁻¹(x) = (3 − x)/(x + 2)[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which is the inverse of [math]f(x)=2x-7[/math]?
  1. [math]f^-1(x)=2/7(x+1)[/math]
  2. [math]f^-1(x)=2/7x+7[/math]
  3. [math]f^-1(x)=(x+7)/2[/math]
  4. [math]f^-1(x)=x/2+7[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of [math]f(x) = (x − 5) / 3[/math].
  1. f⁻¹(x) = 3x + 5
  2. [math]f(x) = (x − 5) / 3[/math]
  3. f⁻¹(x) = 3x - 5
  4. [math]f(x) = x /3− 5[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of [math]f(x) = 1 + e^(2x[/math]
  1. f⁻¹(x) = 2 ln(x - 1)
  2. [math]f⁻¹(x) = ln(√(x - 1))[/math]
  3. [math]f⁻¹(x) =1/2 ln(x - 1)[/math]
  4. [math]f⁻¹(x) = e^(x^-1)/ 2[/math]
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