Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial fractions. s²+3 1. (s-3)(s+5)(s-1)² s²-s+3 2. s3(s+5)(s-2) S-8 3. (s-3)(s²+2s+17) 4. (s+1)²(s²-4s+85) s²+5s-2 5. (s+1)²(s-1)(s-7)

The parent function f(x)=2 ^x and its transformation g(x)= 1/2 x 2 ^x are shown on the graph below. Describe the effect the transformation has on the domain.

Question 54 please

For this second step after we have (a^-1ba)^k(a^-1 ba)^1, shouldn't we have a^k-1 b^k a^k a^-1 b^1 a^1?

Which equation below represents the inverse of f(x)=4v(x+2)-1? * O f^(-1) (x)=1/4 V(x-2) +1 O f^(-1) (x)=((x+1)/4)^2 +2 O f^(-1) (x)=(x+1)^2 /4 +2 O f^(-1) (x)=((x+1)/4)^2 -2

F(x)=8x+x^-1 Find a formula for the inverse of f for the restricted domain x>square rt (1/8)

You are told that g is a one-to-one function with values g(8) = -2 and g(3) = -9. Which of the following must be true? Select all correct answers. Select all that apply: O g-'(-9) = 8 O g-'(3) = 9 O g'(-2) = –9 O g'(-2) = 8 O g(-9) = 3 %3D

What is true for the function of y=2^-3x-6 + 1 and its transformations from the parent function y=2^x?