Iam going to rip my hair out. can somebody do a word for word step by step explanation for my problem? i will give 98 points i'm desperate.

solve the equation. check for extraneous solutions.

9∣9-8x∣ = 2x+3

9|9-8x|=2x+3    divide both sides by 9

l 9 - 8x l  =  [2x + 3] / 9        we have two equations

9 - 8x  = [2x + 3] / 9          and      9 - 8x =  - [2x + 3] / 9

multiply both sides by 9

81 - 72x  = 2x + 3                         81 - 72x  = -2x - 3

get the x's on one side and constants on the other

78  = 74x                                    84  = 70x

divide by 74                            divide by 70

78/74 = x =  39/37                      84/70  = x = 6/5

exactly you go it

step-by-step explanation:

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.