what is the value of the y intercept of the graph g(x)=73(4/5)x? algebra HELP

Answer:
Answer is 73.
Step-by-step explanation:
[tex]73(\frac{4}{5} )^x[/tex]
To find y intercept set x = 0
[tex]73(\frac{4}{5} )^0[/tex] = [tex]73*1[/tex]
Y-intercept is 73
The y-intercept of the function f(x) = 73*(4/5)^x is y = 73.
For any function y = f(x), the y-intercept is the value of y that we get when we evaluate the function in x = 0.
In this case, our function is:
f(x) = 73*(4/5)^x
Evaluating this in zero we get:
f(0) = 73*(4/5)^0
Now, remember that any number with an exponent of 0 is equal to 1.
a^0 = 1.
Then:
f(0) = 73*(4/5)^0 = 73*1 = 73
Then the y-intercept of our function is y = 73.
If you want to learn more about y-intercepts, you can read:
https://brainly.com/question/1884491