Algebra Answers

Match the descriptions to the steps used in solving the linear equation 3(3x−8)=4x+6.

Find the inverse of the function
f(x)=4+ \sqrt{x-2} .
State the domains and ranges of both the function and the inverse function in terms of intervals of real numbers.
obtain the graph of f , its inverse, and g(x)=x in the same system of axes. About what pair (a, a) are (11, 7) and (7, 11) reflected about?

What can be said about the domain of the function:
f \circ g
where
f(y)= \frac{4}{y-2}
and
g(x)= \frac{5}{3x-1}
Express it in terms of a union of intervals of real numbers?
obtain the graph of f , g , and f \circ g .

a) Rewrite the following in nested form and hence evaluate at the given value of x:
(i) f(x) = 4x4 + 3x2+2x - 4 [x=2]
(ii) f(x) = 2x4 + x3+3x2 + 5x - 6 [x=3]

A certain math club makes 30 bars of chocolate a week and sells these at P30 each. Before the chocolate can all be sold, the pupil found out that 6 bars eaten by mice. How much will be the total sale at the end of the four week month? solution

let z1=x+iy and z2=a+ib.suppose z1=z2. Which one of the following is/are true? Explain
a)x=a and y=b
b)the arguments of z1 and z2 differ by a multiple of 2pi

13x + 20x = ?

Solve the problem diagrammatically.
1. 4(2/3)÷1(1/6).
2. 1(1/4)÷2/3.
3. 2/5÷1/3.
4. 3/4÷5/6.