solve and show work please

1. If f(4) = 2, and f'(4} = 5, fill in the following blanks: f"(_) = and ( ' ' 2. If f(-3) = 0, and f'(-3) = %, fill in the following blanks: f'1(_} = and (f'1)'(_) = 3. If f(8) = 2.1, f'(8) = -2, and glx) is the inverse of f(x), fill in the following blanks: g(_) = and B'(_) = _ F r if 4- h l l w' 448211) Il--1-ll H.912) 5- (3")'(2l 7. 10. 11. 12. 13. Let f be the function defined by f(x) = x3 + 7x + 2. IF g(x) = f'1(x) and f(1) = 10, what is the value of g'(10)? Let f be the function defined by f(x) = x5 + 3x3 + 7x + 2. If g(x)= f'1(x} and f(1) = 13, what is the value of g'(13)? Let f be the function defined by f(x) = 7x3 + (InxP. The point (1,?) is a point on the graph of f. If g(x) is the inverse of f, find g'(7). Let g(x) = f"(x), where f(x) : x5 + 2x3 + x -4 and f(-4) = 0. Find the equation of the line tangent to the graph of g at x = 0. Let g(x) = f'llx), where f(x) = 7x + sin(2::) and f(0) = 0. Find the equation of the line tangent to the graph of g at x = 0. If f(x) = 4x - 5. Find (f'1)'(x). If f(x) = 4x -5, find f'1(3)