F(x) =2x-4 and g(x) =-3x+2 find: f(g(x))

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

then f(2) would be what?

which means we plugged in x=2 in our f(x) this goes for same as the composite function where we plug in g(x) in f(x) and replace x with g(x). I'll show you

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

so that is our final answer.

Hope i helped

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.