PLEASE HELP ME WITH MY STUDY GUIDE! I was able to understand all questions but these 8 are giving me trouble, charts and pictures are linked in the attachments &numbered accordingly to the question!

1.) The function f(x)= 3sqrt x⁵+7 is one- to-one. (a) find the inverse of f and check the answer.(b)Find the domain of f. Select the correct choice below and if necessary, fill in the answer box.

(A) f^-1(x)=_________

(B) Find the domain of F______

(C) Find the Range of F______

(D) Find the domain of F^-1______

(E) Find the Range of F^-1 ______

2.)Given f(x)=8x and g(x)=5x²+7, find the following expressions

(a)(fxg)(4)=_____

(b)(gxf)(2)=_____

(c)(fxf)(1)=_____

(d)(gxg)(0)=_____

3.)The function f(x)=6/(5+x) is one to one

(a) f^-1(x)=____

(b)find the domain of f=_______

(c) find the range of f=________

(d) find the domain of f^-1=_______

(e) find the range of f^-1=_____

4.)Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and y-intercept of the function.

f(x)=6^x-2

Please also graph the function!

5.)Write the expression as a sum and/or difference of logarithms. Express powers as factors. ln(x⁶ sqrt (3-x)), 0

simplify your answer.

6.)If f(x)=8x²+8 and g(x)=2x+a, find a so that the graph of f x g crosses the y axis at 296

what is the value of a? a=______

7.)Change the logarithmic expression to an equivalent expression involving an exponent

log₇ 1/49=-2

write log₇ (1/49)=-2 as an exponential equation______

8.)Use properties of logarithims to find the exact value of the expression.

log₈2+log₈4 =_________