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alekssr [168]
3 years ago
14

F(x) = x2 + 2, g(x) = x2 - 1, h(x) = 3x Evaluate. g(h( f((-1))) =

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

The value of the composite function is g(h(f(-1)))=80

Step-by-step explanation:

In this problem we have the following functions:

f(x)=x^2+2\\g(x)=x^2-1\\h(x)=3x

We want to find the composite function

g(h(f(x)) and compute its value in x = -1.

In order to do that, we start by calculating the value of f(x) for x = -1:

f(-1)=(-1)^2+2=1+2=3

Now we compute h(f(x)) for x = -1:

h(f(-1))=3(f(-1))=3(3)=9

And now we compute g(h(f(x))) for x = -1:

g(h(f(-1)))= (h(f(-1))^2-1=9^2-1=80

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

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Step-by-step explanation:

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Answer:

\dfrac{1}{4}

Step-by-step explanation:

Total number of cards in a standard deck = 52

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Four cards are drawn at random by Timothy.

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Formula for probability of an event E can be observed as:

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Here, number of favorable cases are 12 (i.e. number of hearts)

Total number of cases = 12 \times 4 = 48

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\dfrac{12}{48} = \bold{\dfrac{1}4}

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Answer:

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Step-by-step explanation:

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