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This printable supports Common Core Mathematics Standard HSF-BF.B.4, HSF-BF.B.4a

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# Inverse Functions, #2 (Grade 10)

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## Inverse Functions, #2

1.
Find the inverse of the function $f(x) = 3x-2$.
1. $f^{-1}(x) = 1/3 x + 2$
2. $f^{-1}(x) = x +2$
3. $f^{-1}(x) = x + 2/3$
4. $f^{-1}(x) = 1/3 x + 2/3$
2.
Find the inverse of $f(x) = x$.
1. $f^{-1}(x) = x$
2. $f^{-1}(x) = y$
3. $f^{-1}(x) = 1$
4. $f^{-1}(x) = 1/x$
3.
Find the inverse of $f(x) = 1/2 x + 4/5$.
1. $f^{-1}(x) = 2x - 8/5$
2. $f^{-1}(x) = 2x - 4/5$
3. $f^{-1}(x) = -1/2 x - 4/5$
4. $f^{-1}(x) = -2x - 5/4$
4.
Find the inverse. $f(x) = 1/5 x^3$
1. $f^{-1}(x) = 5root[3](x)$
2. $f^{-1}(x) = root[3](5x)$
3. $f^{-1}(x) = root[3](1/5 x)$
4. $f^{-1}(x) = 1/5root[3](x)$
5.
Find the inverse of the following function. $f(x) = 4x^3 + 2$
1. $f^{-1}(x) = (x^3-2)/4$
2. $f^{-1}(x) = (root[3](x) - 2)/4$
3. $f^{-1}(x) = root[3]((x-2)/4)$
4. $f^{-1}(x) = root[3](x-2)/4$
6.
What is the inverse of $f(x) = 3/(x-1) ?$
1. $f^{-1}(x) = (x+1)/3$
2. $f^{-1}(x) = (x+3)/x$
3. $f^{-1}(x) = 3/(x+1)$
4. $f^{-1}(x) = 4/x$
7.
Find the inverse. $f(x) = (x-8)/(x+1)$
1. $f^{-1}(x) = (x-1)/(x+8)$
2. $f^{-1}(x) = -9/(x+1)$
3. $f^{-1}(x) = (-x-8)/(x-1)$
4. $f^{-1}(x) = (x-8)/x$
8.
Find the inverse of the following function. $f(x) = 3^{9x-5}$
1. $f^{-1}(x) = log_3(1/9 x + 5)$
2. $f^{-1}(x) = log_3(x/9) + 5$
3. $f^{-1}(x) = log_3(x+5)/9$
4. $f^{-1}(x) = (log_3(x) + 5)/9$
9.
If $f(x) = log_4(3x-1) + 10$, what is the inverse of this function?
1. $f^{-1}(x) = (4^(x-10)+1)/3$
2. $f^{-1}(x) = 4(x/3 + 1) - 10$
3. $f^{-1}(x) = 1/3 (4^x -9)$
4. $f^{-1}(x) = 4^((x-10)/3 + 1)$
10.
Find the inverse of the following function. $f(x) = e^(x^3)$
1. This function has no inverse.
2. $f^{-1}(x) = ln(x^3)$
3. $f^{-1}(x) = ln(root[3](x))$
4. $f^{-1}(x) = root[3](ln(x))$
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