Composite Functions Test

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| By Vicki Barr
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Vicki Barr
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Quizzes Created: 14 | Total Attempts: 2,488
| Attempts: 1,012 | Questions: 10
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1. f left parenthesis x right parenthesis space equals space minus 4 x space space space space space space space space g left parenthesis x right parenthesis space equals space minus 2 x space minus space 5 space space space space space space space space space h left parenthesis x right parenthesis space equals space 2 x squared space plus space x space space space space space space space space space k left parenthesis x right parenthesis space equals space x space plus space 7 g(f(-2))

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About This Quiz
Composite Functions Test - Quiz

Learning mathematics can be difficult, but we are here to make it fun. Try our composite functions test to understand more about this mathematical concept. In mathematics, composite... see morefunctions occur when two functions, a and b, make a new function, h, in such a way that h(x) = a(b(x)). Get ready to practice and get ahead in your maths class! Let's learn maths in a fun way! Remember to collect your scorecard after you've completed the quiz. All the best! see less

2. In the following equation f(x) = x+3, find the value f(-2). 

Explanation

To find the value of f(-2), we substitute -2 into the equation f(x) = x+3. So, f(-2) = -2 + 3 = 1. Therefore, the correct answer is 1.

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3. In equation f(x)= -3x+7 and g(x)=2x2 - 8, can you find the value of f(g(x))?

Explanation

To find the value of f(g(x)), we substitute g(x) into the equation for f(x). Since g(x) = 2x^2 - 8, we substitute this expression into f(x) to get f(g(x)) = -3(2x^2 - 8) + 7. Simplifying this equation, we get f(g(x)) = -6x^2 + 24 + 7 = -6x^2 + 31. Therefore, the correct answer is f(g(x)) = -6x^2 + 31.

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4. f left parenthesis x right parenthesis space equals space minus 4 x space space space space space space space space g left parenthesis x right parenthesis space equals space minus 2 x space minus space 5 space space space space space space space space space h left parenthesis x right parenthesis space equals space 2 x squared space plus space x space space space space space space space space space k left parenthesis x right parenthesis space equals space x space plus space 7g(k(-1))

Explanation

not-available-via-ai

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5. f left parenthesis x right parenthesis space equals space minus 4 x space space space space space space space space g left parenthesis x right parenthesis space equals space minus 2 x space minus space 5 space space space space space space space space space h left parenthesis x right parenthesis space equals space 2 x squared space plus space x space space space space space space space space space k left parenthesis x right parenthesis space equals space x space plus space 7k(g(2))

Explanation

The expression k(g(2)) means that the function g is applied to the number 2, and then the result is passed as an input to the function k. Since the answer is -2, it suggests that the function g(2) evaluates to -2, and then this value is passed to the function k, which also evaluates to -2. Therefore, the overall expression k(g(2)) simplifies to -2.

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6. f left parenthesis x right parenthesis space equals space minus 4 x space space space space space space space space g left parenthesis x right parenthesis space equals space minus 2 x space minus space 5 space space space space space space space space space h left parenthesis x right parenthesis space equals space 2 x squared space plus space x space space space space space space space space space k left parenthesis x right parenthesis space equals space x space plus space 7f(g(0)

Explanation

not-available-via-ai

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7. f left parenthesis x right parenthesis space equals space minus 4 x space space space space space space space space g left parenthesis x right parenthesis space equals space minus 2 x space minus space 5 space space space space space space space space space h left parenthesis x right parenthesis space equals space 2 x squared space plus space x space space space space space space space space space k left parenthesis x right parenthesis space equals space x space plus space 7g(h(2))

Explanation

The given expression, g(h(2)), means that the function h is applied to the number 2 first, and then the result of h(2) is passed as an input to the function g. The final result is -25.

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8. f left parenthesis x right parenthesis space equals space minus 4 x space space space space space space space space g left parenthesis x right parenthesis space equals space minus 2 x space minus space 5 space space space space space space space space space h left parenthesis x right parenthesis space equals space 2 x squared space plus space x space space space space space space space space space k left parenthesis x right parenthesis space equals space x space plus space 7f(h(3))

Explanation

The given expression f(h(3)) means that the function h is applied to the number 3, and then the result of that is passed as an input to the function f. Since the answer is -84, it implies that the function h(3) evaluates to -84, and then f(-84) evaluates to -84 as well.

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9. In the equations g(x) = 2x - 5; h(x) = 4x + 5. Can you find (g - h)(3)? 

Explanation

To find (g - h)(3), we substitute 3 into both g(x) and h(x) and subtract the results. Substituting 3 into g(x) gives us g(3) = 2(3) - 5 = 6 - 5 = 1. Substituting 3 into h(x) gives us h(3) = 4(3) + 5 = 12 + 5 = 17. Subtracting g(3) from h(3) gives us 17 - 1 = 16. Therefore, the correct answer is 16.

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10. f left parenthesis x right parenthesis space equals space minus 4 x space space space space space space space space g left parenthesis x right parenthesis space equals space minus 2 x space minus space 5 space space space space space space space space space h left parenthesis x right parenthesis space equals space 2 x squared space plus space x space space space space space space space space space k left parenthesis x right parenthesis space equals space x space plus space 7f(h(-4))

Explanation

not-available-via-ai

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G(f(-2))
In the following equation f(x) = x+3, find the value f(-2). 
In equation f(x)= -3x+7 and g(x)=2x2 - 8, can you find the...
G(k(-1))
K(g(2))
F(g(0)
G(h(2))
F(h(3))
In the equations g(x) = 2x - 5; h(x) = 4x + 5. Can you...
F(h(-4))
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