Operations
If f(x) = x + 2 and g(x) = 2x - 4, what is f(x) + g(x) ?
3x - 2
If f = (3, 2), (-2, 3), what is f^-1(x)?
f^-1(x) = (2, 3), (3, -2)
What is the cube root of -81?
-3
f(x) = 3x
g(x) = 2x + 5
f(g(x))= ?
6x + 15.
Solve √(x-3) + 5 = 15
x = 103
If f(x) = 2x and g(x) = -x - 4, what is f(x) - g(x) ?
3x + 4
Explain how you would find the inverse of a function algebraically.
What is First, you swap x and y and then solve for y.
f(x) = 4x
g(x) = 2x
what is (f * g)(x) = ?
8x²
What is √12 plus √48?
6√3
given that h(x) = 5x - 1 / 3x + 1. find the inverse of h
x + 1 / 5 - 3x
If f(x) = x + 1 and g(x) = x + 3, find f(g(x))
x + 4
An inverse and its function are _________________of each other graphically over the line _______________.
y=x
f(x) = 3x + 5
g(x) = 2x + 6
calculate (f*g) = ?
6x² +25x + 25.
Simplify X^1/2 ∙ x^2/3
X^7/6
determine the inverse of h(x) = 3x + 5 / x + 5 and hence solve the equation 3x + 5 / x + 5 = 2
5x - 5 / 3 - x
x = 5
If f(x) = 2x - 4 and g(x) = 3x - 5, what is g(f(5))?
13
given that g(x) = 2x + 1 / 3x + 4. determine the inverse.
1 - 4x / 3x - 2
f(x) = 25x² + 5
g(x) = 5x
(f/g)(x) = ?
5x + 1.
f(x) = 8x + 2
g(x) = 2x
(f-g)(x) = ?
6x+2.
determine the inverse of f(x) = 3x + 2 / x - 2 and hence solve the equation 3x +2 / x -2 =7
x = 4
given the function f: x ----- 4x - 3 determine the inverse of the function
x + 3 / 4
Find the Inverse f(x) = (1/2)x + 3
2x - 6
f(x) = x² + 5x +2
g(x) = 3x +2
(f*g)(x)=?
3x^3 + 17x² + 16x + 6.
Find the inverse of f(x)=5x-16
f-1(x)=(x+16)/5
f(x) = 3x + 2 / 2x - 5 find the inverse.
5x +2 / 2x -3