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Fofino [41]
3 years ago
9

99PTS!!!!!!!

Mathematics
2 answers:
bezimeni [28]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

The given function is

h(x)=3^x-2        ... (1)

It is an exponential function.

The graph of second exponential function passes through the points (0,4) and (1,5), and it shifted 3 units up.

g(x)=a(b)^x+3

Substitute x=0 and g(x)=4 in the above function.

4=a(b)^0+3\Rightarrow a=1

Substitute a=1, x=1 and g(x)=5 in the above function.

5=1(b)^1+3\Rightarrow b=2

The second function is

g(x)=2^x+3             .... (2)

At x=0,

h(0)=3^(0)-2=-1

g(0)=2^(0)+3=4

So, at initial stage g(x)>h(x).

On solving (1) and (2) we get

x=2,g(x)=h(x)=7

It means at x=2 the function h(x) is equal to g(x) and after that h(x)>g(x).

g(x) ≥ h(x) on the interval –2 ≤ x ≤ 2

Therefore, the correct option is A.

Ostrovityanka [42]3 years ago
5 0

h(x) = 3^x – 2 will be negative  when x is less than 0

h(2) =7

g(2)=7

This is the point they are equal

g(x)> h(x) until2

g(x)>=h(x) -2<=x<=2

Choice A

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