For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ).

3 0

3 years ago

Read 2 more answers

a line t has the equation 5x-y-4=0. write down the equation of a line which passes through (1,-3), a) which is parallel to T, b)

OlgaM077 [116]

Like me and ill help you

3 0

3 years ago

If you had 11 dollars and spent 7 what fraction of the money did you spend

tatyana61 [14]

Answer:

7/11

Step-by-step explanation:

3 0

2 years ago

Solve for x. 7(1x - 3) = 4(x + 5)

alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

7(1x - 3) = 4(x + 5)

Step 2: Solve for x

Simplify: 7(x - 3) = 4(x + 5)
Distribute: 7x - 21 = 4x + 20
Subtract 4x on both sides: 3x - 21 = 20
Add 21 on both sides: 3x = 41
Divide 3 on both sides: x = 41/3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
Multiply: 7(41/3 - 3) = 4(41/3 + 5)
Subtract/Add: 7(32/3) = 4(56/3)
Multiply: 224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

6 0

2 years ago