Which option below best describes why the domain of g(x) = 5–x is all real numbers but the range of g is not all real numbers? the domain of g is all real numbers because every real number . however, the range of g is not all real numbers because the

The function is

g(x) = 5^(-x)

This question can be easily solved by using a graphing calculator

and plotting the graph of g(x)

In the image below, we can see that for each value of x , there is a corresponding value for g(x)

This means that the function does not have any discontinuities. Therefore,

The domain of g(x) is all real numbers  (x ∈ R)

The range is related to the values that can be achieved by g(x),

Since it is a positive exponential function, all values will be g(x)>0

And the range would be (0,∞)

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1