Operations
Inverse of Functions
Radical Functions
Logarithmic Functions
Applications of Logs
100
If f(x) = -2x + 7, what is f(5)?
f(5) = -3
100
Give the inverse of the function f = {(4,7), (2,-3), (5,7),(1, 8)}
f^-1 = {(7,4), (-3,2), (7,5), (8, 1)}
100
Find the domain of f(x) = the square root of (x - 2)
D = x is greater than or equal to 2
100
Change to exponential Function. Log2 x = y
What is 2^y = x
100
Find the Richter scale measurement for an earthquake that is given number of times greater than the standard minimum intensity. I = 10^8.7
What is 8.7
200
If f(x) = -2x + 7 and g(x) = 5x^2, then what is (f + g)(x)?
5x^2 - 2x +7
200
Find the inverse of f(x) = x^3 + 9.
f^-1(x) = cubed root of (x - 9)
200
Find the domain of h(x) = square root of (9 - x)
D = x is less than or equal to 9
200
Log 1000 = 3
What is 10^3 = 1000
200
Find the Richter scale value for an earthquake whose intensity is 79,432,823 time I0.
What is 7.9
300
If f(x) = x/9 and g (x) - x - 7, then find f (g(x))
(x-7)/9
300
Find the inverse of y = (x + 1)/2x.
y^-1 = 1/(2x - 1)
300
Find the domain of t(x) = 5/x* the square root of (x + 2)
t^-1 (x) = x > -2 and x is not equal to 0
300
Change to log function. 5^-5 = 1/3125
What is log5 1/3125 = -5
300
If $4500 is invested at 7% compounded continuously, how much is in the account after 7.5 years?
What is $7607.06
400
if g(x) = x - 7 and k(x) = 5x - 4, what g(k(x))?
g(k(x)) = 5x - 11
400
Find the inverse of f(x) = 1/(x +2)
f^-1(x) = 1/x - 2 or (1-2x)/x
400
Find the inverse and then state the domain of f(x) = the 5ifth root of (2x - 4).
The inverse is f^-1(x) = (x^5 + 4)/2 and the domain is all real numbers
400
Evaluate. log4 64
What is 3
400
What is Hydrogen ion concentration (in moles per liter) of milk if the pH is 6.4?
What is 4 x 10^-7 or .0000004
500
Find f(g(x)) if f(x) = .35x + 5.97 and g(x) = 2x^2 - 45x + 750
f(g(x)) = 63,495
500
Find the inverse of f(x) = (3x - 4)/(x - 1)
f^-1(x) = (x - 4)/(x - 3)
500
Find the inverse and state the domain of f(x) = x^2 + 8x + 16
f^-1(x) = (plus or minus the square root of x) - 4
500
log5 78125
What is 7
500
How long will it take an account to triple in value if it is invested at 8.5% compounded continuously?
What is 12.92 years or about 12 years and 11 months
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