Given the equations begin mathsize 18px style f left parenthesis x right parenthesis equals x squared plus 4 x plus 3 end style and begin mathsize 18px style g left parenthesis x right parenthesis equals 2 x minus 1 end style, find begin mathsize 18px style f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end style.

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.

answer: 8 years

step-by-step explanation:

the explanation is that in 8 years the child will be 20 and in 8 years the father will be 40 and 20 is half of 40.

answer: youre the sweetest thing for that