# Inverse functions, logarithms, arithmetic sequences and geometric sequences

2. Which graph represents the inverse of h(x)= -3x+6?

3. Given the function f(x) = 9x+7, find its inverse.

4. Simplify the logarithm log2(64). Select the correct solution.

5. Select the first five terms in the arithmetic sequence an = 4n, starting with n = 1.

6. Select the first five terms in the geometric sequence, a_n=(2)^(n-1) starting with n=1.

7. Select the sum of the series sigma^5k=1^(k^2).

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#### Solution Preview

2. which graph represent the inverse of h(x)= -3x+6?

In order to find the inverse swap the y,x values and solve

x=-3y+6

Isolate the y variable and subtract 6 on both sides

x-6=-3y

Divide both sides by -3

(x-6)/-3=y

Rewrite.

Y=-x/3+2

h^-1(x)=-x/3+2

3. Given the function f(x) = 9x+7, find its inverse.

In order to find ...

#### Solution Summary

This solution provides step by step solutions for various questions involving inverse functions, logarithms, arithmetic sequences and geometric sequences.