Is the following function linear or non-linear? f(t)=4t+−21

linear

Step-by-step explanation:

Replace all occurrences of +− with a single

−

. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because

1

⋅

−

1

=

−

1

f

(

x

)

=

4

x

−

21

Rewrite the function as an equation.

y

=

4

x

−

21

Use the slope-intercept form to find the slope and y-intercept.

just get this app called photo math it should be able to do those

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)