Consider the graph of the function f(x)=10^x.


Using graph, the value of g(x) = 8 and the y- intercept at the point (0,-1).
A graph is a "mathematical representation of a network and it describes relationship between lines and points".
According to the question,
f(x) = [tex]10^x[/tex]
g(x) = -4f(x) +12
g(x) = -4 (10ˣ) +12
The graph intersect at y-axis then x-coordinate should be zero.
Let take any two points on y-axis (0, 1) and substitute g(0) = -4 (10⁰) + 12
= 8
Hence, the value of g(x) = 8 and the y- intercept at the point (0,-1).
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