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MATH / If f(x)=x+2 and g(x)=x², then for what value of x does f(g(x))=g(f(x))? Express your answer as a common fraction.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

f (x) = x + 2

and

g (x) = x^2

, then for what value of

x

does

f(g(x)) = g(f(x))

? Express your answer as a common fraction.

Plain-text mathematical notation (without MathML)

If f(x)=x+2 and g(x)=x², then for what value of x does f(g(x))=g(f(x))? Express your answer as a common fraction.

Original LaTeX notation

If $f (x) = x + 2$ and $g (x) = x^2$, then for what value of $x$ does $f(g(x)) = g(f(x))$? Express your answer as a common fraction.

level

Level 4

type

Algebra

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task_id: c4c852d5-df3f-5d07-a5b6-55035c85c89a
task_key: algebra--test--c4c852d5-df3f-5d07-a5b6-55035c85c89a
task_revision_id: 2
config / split: algebra / test

Official source

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