The answer is the option D
Step-by-step explanation:
we have
To solve the system of equations equate f(x) and g(x)
The solution of the system of equations is the intersection points both graphs
Using a graphing tool
see the attached figure
The solutions of x are
A. x = −2.8, 0.6, −3.7
f(x)=g(x)
2x+5=x^3-3x^2-4x+12
f(x)=g(x) is at the points where the two curves intersect.
(0,2) and (-2, -12) because those are all the x-axis values.
b. f(x) is an exponential function =>
with the formula :
f(x) = 4^x , x ≥ -2
g(x) is a linear function =>
g(x) = x + 4 , x ≥ -1
c. f(x) will increase as geometric sequence
g(x) will increase as arithmetic sequence
d. f(x) = g(x)
4^x = x+4
x = 1.1875 (estimated)
well, clearly 4 > 1.
Your answer is B
B) x+5
x = 5
f(x) = 4x + 8 = 4(5) + 8 = 28
g(x) = 2x − 3 = 25 − 3 = 29
A quantity increasing exponentially eventually exceeds a quantity increasing linearly.
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![\bf f(x)=\stackrel{\stackrel{m}{\downarrow }}{4} x+10\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](/tpl/images/0015/0662/59473.png)
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