Question

Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1. What is the equation of function g? g(x) = f(x)

Answer 1

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

$f(x)=e^{(\ln2)x}-2$

Now, similarly from the graph the function of g(x) can be written as,

$g(x)=-3e^{(\ln2)x}+6$

Further, the equation of function g(x) in terms of f(x) can be written as,

g(x) = -3[f(x)]

Learn more about Equation:

brainly.com/question/2263981

#SPJ1