If $$f(x) = x^2 + 9$$ and $$g(x) = x - 9$$ , find $$f(x) - g(x)$$ .

$$f(x) - g(x) = x^2 - x + 18$$ .

Given $$f(x) = x^2 + 5$$ and $$g(x) = 2x^3 - 1$$ , find $$\left(\frac{f}{g}\right)(-3)$$ .

$$\left(\frac{f}{g}\right)(-3) = -\frac{14}{55}$$ .

When $$f(x) = 9 - 3x$$ and $$g(x) = 5x - 7$$ , find $$\left(f + g\right)(x)$$ .

$$\left(f + g\right)(x) = 2x + 2$$ .

If $$f(x) = 3x - 1$$ and $$g(x) = x^2 + 2$$ , what is $$ (f \circ g)(x) ?$$

$$ (f \circ g)(x) = 3x^2 + 5$$ .

If $$f(x) = 2x + 3$$ and $$g(x) = x^2$$ , find $$ (f \circ g)(x) $$ .

$$ (f \circ g)(x) = 2(x^2) + 3 = 2x^2 + 3 $$ .

What is the formula for the difference of two functions?

The formula for the difference of two functions is $$ (f - g)(x) = f(x) - g(x) $$ .

If $$f(x) = x^2$$ and $$g(x) = 4x$$ , find $$ (f + g)(2) $$ .

$$ (f + g)(2) = f(2) + g(2) = 4 + 8 = 12 $$ .

What is the result of $$ (f \circ g)(x) $$ if $$ f(x) = x + 1 $$ and $$ g(x) = 3x $$ ?

$$ (f \circ g)(x) = f(g(x)) = f(3x) = 3x + 1 $$ .

Define the operation of function subtraction: f - g.

The operation of function subtraction is defined as $$(f - g)(x) = f(x) - g(x)$$ .

If $$f(x) = x^3$$ and $$g(x) = x + 1$$ , find $$ (f \circ g)(1) $$ .

$$ (f \circ g)(1) = f(g(1)) = f(2) = 2^3 = 8 $$ .

Operations of Functions Review

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.A.1B, HSF-BF.A.1C

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CCSS.HSF-BF.A.1B

FLASHCARD QUESTION

Front

Back

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CCSS.HSF-BF.A.1B

FLASHCARD QUESTION

Front

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CCSS.HSF-BF.A.1B

FLASHCARD QUESTION

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CCSS.HSF-BF.A.1B

FLASHCARD QUESTION

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CCSS.HSF-BF.A.1C

FLASHCARD QUESTION

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Define the operation of function addition: f + g.

Back

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CCSS.HSF-BF.A.1B

FLASHCARD QUESTION

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What is the definition of function composition?

Back

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CCSS.HSF-BF.A.1C

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