Question

I am still looking for some help please. I am completely confused..

Find f-1(x) (THE -1 IS AN INVERSE FUNCTION). Sketch the graphs of y=f(x) and y=f-1(x) on the same coordinate axes.

Answer for f(x)=3x-4

I am not understanding how this works...

Answer 1

for the inverse switch x and y
so your original formula is
y = 3x - 4
now switch x and y for inverse
x = 3y - 4
this is a correct answer
but teachers usually want it in y = mx + b form
so
y = (x + 4)/3
would be your answer

Answer 2

What if I tried f(x)=x^3+1

Answer 3

How are exponents carried over in these types of equations?

Answer 4

Isolate it one side. The inverse of cube is the cube root

Answer 5

To sketch the graph take the values of x = -3 to x = 3 and substitute into the equation f(x) = 3x +4 and plot the point
therefore
when x = -3 f(x) or y = -4
when x= -2 f(x) or y = -2
when x =-1 f(x) or y = 1
when x = 0 y = 4
when x = 1 y = 7
when x = 2 y =10
when x = 3 y = 11
plot those points then do the same for the inverse function .