What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.
2 answers:
Answer:
All real numbers greater than 6.
Step-by-step explanation:
To find the domain we have to find if there are intervals where the function is not defined.
In this case, we have a logarithm.
Logarithms of any base are not defined for 0 or values less than zero (negative numbers). So the logarithm argument must be greater than zero.
For the above to be true: must be greater than zero.
> 0
> 6
If x is greater than 6, the argument of the logarithm will be greater than zero and the function will be defined.
The anser is: All real numbers greater than 6.
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Answer with Step-by-step explanation:
We are given that function f(x) which is quadratic function.
x -intercept of function f(x) at (-1,0) and (-3,0)
x-Intercept of f means zeroes of f
x=-1 and x=-3
Range of f =[-4,)
g(x)=
Therefore, x-intercept of g(x) at (-1,0) and (-3,0).
Substitute x=-2
By comparing with the equation of parabola
Where vertex=(h,k)
We get vertex of g(x)=(-2,-2)
Range of g(x)=[-2,)
Zeroes of f and g are same .
But range of f and g are different.
Range of f contains -3 and -4 but range of g does not contain -3 and -4.
f and g are both quadratic functions.
