Question 11(Multiple Choice)

1 answer:

8 0

The x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively

<h3>How to determine the x-intercept and asymptote of g(x)?</h3>

The equation of the function is given as:

g(x) = log3 (x - 4)

Set the function to 0, to determine the x-intercept

log3 (x - 4) = 0

Express the function as an exponential function

x - 4 = 3^0

Evaluate the exponent

x - 4 = 1

Add 4 to both sides

x = 5

Set the radical to 0, to determine the asymptote

x - 4 = 0

Add 4 to both sides

x = 4

Hence, the x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively

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BARSIC [14]

Answer:

Infinite solution

Step-by-step explanation:

There is 3 possible solutions to a system of linear equations:

One solution - two distinct lines that do not share y-intercept or slop intersect at a point
No solution - two distinct lines that share the same slope but not the same y-intercept never intersect and are parallel
Infinite solution - one distinct function represented two ways which in simplest form share the same slope and y-intercept

The first equation is in simplest form y=2x+3.

The second equation 2y=4x+6 when simplified becomes y=2x+3.

These are the same lines with the same slope and y-intercept. Therefore, they have infinite solutions.

3 0

2 years ago

Oxana [17]

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.