Given the function f(x) = 2 x + 61 – 4, for what values of x is f(x) = 6?

x = -51/2

Step-by-step explanation:

f(x) = 2x + 61 - 4

Since we are looking for the values where f(x) = 6, replace f(x) with 6 in the equation:

6 = 2x + 61 -4

Next combine like terms:

6 = 2x + 57

Then move subtract 57 from both sides to isolate the variable:

-51 = 2x

Finally, divide both sides by two to get x by itself:

x =-51/2

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0