If possible, choose k so that the following function is continuous on any interval: f(x)= (5x^4-20x^3)/(x-4) , x≠4 f(x)= k , x=4 k=? ,

Which function has an inverse function? a.f(x)= |x+3|/5 b. f(x)= x^5-3 c. f(x)= x^4/7+27 d. f(x)= 1/x²

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap

If f(x) = -5x + 1 and g(x) = x3, what is (gºf)(0)? enter the correct answer