Function Composition Practice

Authored by Anna Cockrum

Mathematics

11th Grade

CCSS covered

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OPEN ENDED QUESTION

5 mins • Ungraded

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $f\left(g\left(3\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $g\left(f\left(-1\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $h\left(f\left(5\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $f\left(g\left(-6\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $f\left(h\left(-2\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $g\left(h\left(9\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $g\left(f\left(1\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $h\left(f\left(3\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

OPEN ENDED QUESTION

5 mins • Ungraded

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $g\left(h\left(-3\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

10.

OPEN ENDED QUESTION

5 mins • Ungraded

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $f\left(h\left(4\right)\right)$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF-BF.A.1C

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Function Composition Practice

Given: f(x)=3x+4f\left(x\right)=3x+4f(x)=3x+4 h(x)=x−6h\left(x\right)=x-6h(x)=x−6 g(x)=x2+2xg\left(x\right)=x^2+2xg(x)=x2+2x Find: f(g(3))f\left(g\left(3\right)\right)f(g(3))

Given: f(x)=3x+4f\left(x\right)=3x+4f(x)=3x+4 h(x)=x−6h\left(x\right)=x-6h(x)=x−6 g(x)=x2+2xg\left(x\right)=x^2+2xg(x)=x2+2x Find: g(f(−1))g\left(f\left(-1\right)\right)g(f(−1))

Given: f(x)=3x+4f\left(x\right)=3x+4f(x)=3x+4 h(x)=x−6h\left(x\right)=x-6h(x)=x−6 g(x)=x2+2xg\left(x\right)=x^2+2xg(x)=x2+2x Find: h(f(5))h\left(f\left(5\right)\right)h(f(5))

Given: f(x)=3x+4f\left(x\right)=3x+4f(x)=3x+4 h(x)=x−6h\left(x\right)=x-6h(x)=x−6 g(x)=x2+2xg\left(x\right)=x^2+2xg(x)=x2+2x Find: f(g(−6))f\left(g\left(-6\right)\right)f(g(−6))

Given: f(x)=3x+4f\left(x\right)=3x+4f(x)=3x+4 h(x)=x−6h\left(x\right)=x-6h(x)=x−6 g(x)=x2+2xg\left(x\right)=x^2+2xg(x)=x2+2x Find: f(h(−2))f\left(h\left(-2\right)\right)f(h(−2))

Given: f(x)=3x+4f\left(x\right)=3x+4f(x)=3x+4 h(x)=x−6h\left(x\right)=x-6h(x)=x−6 g(x)=x2+2xg\left(x\right)=x^2+2xg(x)=x2+2x Find: g(h(9))g\left(h\left(9\right)\right)g(h(9))

Given: f(x)=2x−5f\left(x\right)=2x-5f(x)=2x−5 g(x)=x2−6xg\left(x\right)=x^2-6xg(x)=x2−6x h(x)=2x2+5x−3h\left(x\right)=2x^2+5x-3h(x)=2x2+5x−3 Find: g(f(1))g\left(f\left(1\right)\right)g(f(1))

Given: f(x)=2x−5f\left(x\right)=2x-5f(x)=2x−5 g(x)=x2−6xg\left(x\right)=x^2-6xg(x)=x2−6x h(x)=2x2+5x−3h\left(x\right)=2x^2+5x-3h(x)=2x2+5x−3 Find: h(f(3))h\left(f\left(3\right)\right)h(f(3))

Given: f(x)=2x−5f\left(x\right)=2x-5f(x)=2x−5 g(x)=x2−6xg\left(x\right)=x^2-6xg(x)=x2−6x h(x)=2x2+5x−3h\left(x\right)=2x^2+5x-3h(x)=2x2+5x−3 Find: g(h(−3))g\left(h\left(-3\right)\right)g(h(−3))

Given: f(x)=2x−5f\left(x\right)=2x-5f(x)=2x−5 g(x)=x2−6xg\left(x\right)=x^2-6xg(x)=x2−6x h(x)=2x2+5x−3h\left(x\right)=2x^2+5x-3h(x)=2x2+5x−3 Find: f(h(4))f\left(h\left(4\right)\right)f(h(4))

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Discover more resources for Mathematics

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $f\left(g\left(3\right)\right)$

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $g\left(f\left(-1\right)\right)$

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $h\left(f\left(5\right)\right)$

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $f\left(g\left(-6\right)\right)$

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $f\left(h\left(-2\right)\right)$

Given:
$f\left(x\right)=3x+4$
$h\left(x\right)=x-6$
$g\left(x\right)=x^2+2x$
Find: $g\left(h\left(9\right)\right)$

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $g\left(f\left(1\right)\right)$

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $h\left(f\left(3\right)\right)$

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $g\left(h\left(-3\right)\right)$

Given: $f\left(x\right)=2x-5$
$g\left(x\right)=x^2-6x$
$h\left(x\right)=2x^2+5x-3$

Find: $f\left(h\left(4\right)\right)$