Question

3 = X + 1 S f(x) 1 g(x) = 10-1 2 F -2 2 2 6 -2 -4 -6 -8 Clear All Draw: For what value of x is f(x) = g(x)?

Answer 1

8

Step-by-step explanation:

The general form of the slope-intercept form of the equation of a line is given as;

`y=mx+b`

where m = slope of the line

b = y-intercept of the line

Given the below function;

`f(x)=-(3)/(4)x+1`

If we compare both equations, we can see that the slope(m) = -3/4 and the y-intercept(b) = 1. It means that the graph will have a negative slope will cut the y-axis at y = 1.

Given;

`g(x)=-(1)/(2)x-1`

We can deduce that the slope(m) of this line = -1/2 and the y-intercept(b) = -1. It means that the graph of this line will also have a negative slope and will cut the negative y-axis at y = -1.

See below the graph of both lines;

From the above graph of both functions, we can see that the two lines intersect at x = 8.

Therefore the value of x for which f(x) = g(x) is 8.8