Writing Inverse Equations
If g(x) = -4x + 1, find g-1(x).
g-1(x) = - x/4 + 1/4 or
g-1(x) = -(x-1)/4
Find the inverse table for the following points:
(3,7) (-2,6) (-11,-2)
(7,3) (6,-2) (-2,-11)
Rewrite in exponential form: log3 (9) = 2
32 = 9
Evaluate log4 (16)
2
g(x) = x2 - 3x + 10 and
f(x) = -2x + 1. Find g(-3).
g(-3) = 28
If h(x) = 1/x - 2, find h-1(x).
h-1(x) = 1/(x+2)
Find the inverse table for the following points:
(-3,3) (-2,2) (-1,1) (0,0) (1,1) (2,2) (3,3)
(3,-3) (2,-2) (1,-1) (0,0) (1,1) (2,2) (3,3)
Convert to log form:
6-2 = 1/36
log6 (1/36) = -2
Find the value of x:
logx (125) = 3
x = 5
g(x) = x2 - 3x + 10 and
f(x) = -2x + 1. Find g(f(0)).
g(f(0)) = 8
If f(x) = 2x3 + 3, find f-1(x).
f-1(x) = cube root of [(x-3)/2]
What is the line of symmetry between a graph and its inverse?
y = x
Write in exponential form: logx (64) = 3
x3 = 64
Find x: log (x) = 4
x = 10,000
g(x) = x2 - 3x + 10 and f(x) = -2x + 1.
Find f(f-1(10)).
f(f-1(10)) = 10
If t(x) = (x+5)1/2, find t-1(x).
t-1(x) = x2 - 5 where x is greater than or equal to 0
What is the shape of a quadratic's inverse and is that inverse a function?
A sideways parabola and it is not a function.
Convert to log form: 5x = 110
log5 (110) = x
Find x: log2 (x) = -3
x = 1/8
g(x) = x2 - 3x + 10 and f(x) = -2x + 1.
Find f(a+7).
f(a+7) = -2a - 13
If b(x) = (3x2 - 6)/2, find b-1(x).
b-1(x) = plus or minus the square root of (2x/3 + 2) OR plus or minus the square root of [(2x + 6)/3]
Give two different parent functions whose inverse graphs are identical to the original graphs.
Linear (y = x)
Hyperbola (y = 1/x)
Circles (x2 + y2 = 1)
Convert to log form: mz = t
logm (t) = z
Evaluate log7 (1/343)
-3
g(x) = x2 - 3x + 10 and f(x) = -2x + 1.
Find g(g(x)).
g(g(x)) = x4 - 6x3 + 26x2 - 51x + 80