Help with these two and explain pls and thankyouuu

3-3x and 3

Step-by-step explanation:

f(x) = 3x-3

g(x) = -x

g(f(x)) in your g(x) substitute x with f(x)

g( f(x) ) = g( 3x-3) = -(3x-3) = -3x+3

is the the second choice from top because -3x+3 is the same with 3 -3x

g(f(x)) =3-3x

g(f(0)) always work from inside first, so first find f(0) than g(f(0))

f(0) = f(x=0) = 3*0-3 = -3

Now we do the g(f(0)) = g( -3) is the same as  

g(x) except that we substitute x for -3, g(x= -3) = -(-3) =3

g(f(0))=3

*an easier way to find the answer for the second problem would have been that we knew that f(g(x) ) = 3-3x so f(g(0)) =3-3*0 = 3

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places