6.1 Operations with Functions
Given that f(x) = x + 4 and g(x) = 4x2 + 3, what is (f-g)(x)?
-4x2 + x +1
Find the inverse of f(x) = 5x - 2.
y = x - 2/5
Simplify each expression +/- square root of 64x16
8x4
6 divided by √ 3 -√ 2
6√ 3 + 6√ 2
Given that f(x) = 3x + 4 and g(x) = x + 5, what is (g/f)(x)?
Find the inverse of g(x) = -3/6x + 5.
y = -3/6x + 10
Simplify each expression 3√512x7y18
8x2y6√ x
7√ 204x + 4√ 459x -8√ 140x
26√ 51y -16√ 35y
Given that f(x) = x2 + 4 and g(x) = -3x2, what is (g* f)(x)?
9x4+72x2+144
Since y doesn't equal x they are not inverses. The real inverse is -3/2x - 3!
Evaluate 40962/4
Then write X4/7 in radical form.
64
7√x4
Simplify 3√-250p18q10t4
-5p6q3 t 3√ 2qt
Don't forget your negative sign!
Given f(x) = x + 5 and g(x) = -3x2 What is f o g (x)?
-3x2+5
Find inverse of x2 + 4, x greater than and equal to 0. You may graph the function on a graphing calculator or by hand to verify they are inverses.
The inverse is positive √ x-4. The graph should be on the right side. (remember y = x!)
Evaluate 1024-6/5
1/4096
(5√ 3 - 4√ 8)(5√ 3 - 4√ 8)
-160√ 6 +203
Given g(x) = 4x2 + 5 and f(x) = 2x2 + 3 what is f og (4)?
885
Consider the function g(x) = x3/27 + 6. Determine whether the inverse of g is a function. Then find the inverse.
y = 3 3√y-6,
if you got 9 3√ y-6 you are wrong because you must simplify what is inside the radicals first, since 162 and 27 have a factor of 27 which is 33 the inside would be 33 (y-6) under the cube root
Simplify x3/4 * x5/6
x23/24
so close but so far to 24/24
8-5√2 divided by √2 + 7
-43√ 2 -66 divided by 47