F(x) = b^x and g(x) = log_bx are inverse functions. explain why the following are true.
1. a translation of function f is f1(x) = b^(x –h). it is equivalent to a vertical stretch or vertical compression of function f.
2. the inverse of f1(x) = b^(x –h) is equivalent to a translation of g.
3. the inverse of f1(x) = b^(x –h) is not equivalent to a vertical stretch or vertical compression of g.
4. the function h(x) = log_cx is a vertical stretch or compression of g or of its reflection –g. read this as “negative g”.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: