Write the function f(x) = 6x + 5 in terms of z by substituting z for x in the function

f(x)=6x+5

You must do this step because the work is asking for it

z=6x+5

Than you change x and z to find z or the inverse of that function

x=6z+5

Subtract-5 both sides

x-5=6z

Divide both sides with 6

(x-5)/6=(6z)/6

Now you simplify

z=(x-5)/6

Done ✅

Step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).