Write a function formula for g using the function f. g(x)=

Write a function formula for f using the function g.
f(x)=

a).

b).

Step-by-step explanation:

From the graph attached,

There are two observations:

1). Function 'f' has been shifted by 2 units right and 1 unit down to form image function 'g'.

2). Function 'g' has been shifted 2 units left and 1 unit up to form image function 'f'.

Equation of the quadratic function 'f' is,

²

Equation of function 'g'.

²

Therefore, both the functions can be defined as,

a).

b).

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation: