Extra Credit Final Exam B
#42 (correct): Given f(x)=30/x+1 and g(x)= sqrt(x+32), find (fog)(-7)
Describe each step using words
Solve the equation symbolically
First step to solving is to plug -7 into the g(x) function.
G(-7) = sqrt(-7+32) = sqrt(25) = 5
Now we want to plug our answer from g(-
7) into f(x) to get our final solution F(5) = 30/5+1 = 30/6 = 5
Answer: (fog)(-7) = 5
#50 (incorrect): Evaluate the logarithm without the use of a calculator. Log
3
√(3)
Describe each step using words
Solve the equation symbolically
First rewrite the equation with y being the solution. Then put into exponential form.
Y = log
3
√3
3^y = √3
To find y, rewrite √3 as an exponent of 3
3^y = 3^1/2
Now that both exponents have the same base we can set them equal to each other.
3^y = 3^1/2
Y = 1/2
Answer: log
3 √3 = y = ½. On the test I answered 0.5, although it was equal to the answer it was not in the correct form, it requested the answer as an integer or simplified fraction. So the correctly formatted answer would be ½.
