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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.4, HSF-BF.B.4a
Which of the following functions is the inverse of $y=3x+5$?
1. $-y=-3x-5$
2. $y=(x-5)/3$
3. $x=3y+5$
4. $y=1/3x-5$
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following is the inverse of $y=(5x^2+4)/3, x>=0$?
1. $-y=+-sqrt(5x^2)+3/4$
2. $-y=(-5x^2-4)/-3$
3. $x=(5y^2+4)/3$
4. $y=sqrt((3x-4)/5)$
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following is the inverse of $y=x^2+4, x<=0$ ?
1. $-y=sqrt(x-4)$
2. $y=+-sqrt(x)-2$
3. $x=+-sqrt(y^2+4)$
4. $y=sqrt(x)-4$
Grade 11 Functions and Relations CCSS: HSF-BF.B.4a
What is the inverse of the function $f(x) = 8x^3 - 7$?
1. $f^(-1)(x) = root3(x + 7)/(2)$
2. $f^(-1) (x) = root3(x + 7)/(8)$
3. $f^(-1)(x) = (root3 (x + 7)/2)$
4. $f^(-1)(x) = -8x^3 + 7$
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following is the inverse of $y=sqrt(2x^2-8), \ x in [2,oo)$?
1. $y=+-sqrt(-2x^2+8)$
2. $y=sqrt((x^2+8)/2)$
3. $x=+-sqrt(2y^2)-8$
4. $y=2(x^2+8)^2$
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following is the inverse of $y=sqrt(2x^3)-8$?
1. $y=root3(-2x^2)+8$
2. $y=root3((x+8)^2/2)$
3. $x=pmsqrt(2y^3)-8$
4. $y^2=2x^3+64$
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