Mathematics: For which pair of functions is mc004-1.j p g ? you

For which pair of functions is mc004-1.j p g

22dpickr

12.03.2022

C. $f(a) = 5+a^{2}$ and $g(a) = \sqrt{a-5} -2$

Step-by-step explanation:

We are given with four pair of options having functions and are required to find out which pair satisfies gоf(a) = |a| - 2.

Now, the pair that satisfies this equation is $f(a) = 5+a^{2}$ and $g(a) = \sqrt{a-5} -2$ .

i.e. gοf(a) = g(f(a)) = g( $5+a^{2}$ )

i.e. gοf(a) = $\sqrt{5+a^{2} -5} -2$

i.e. gοf(a) = $\sqrt{a^{2} } -2$

i.e. gοf(a) = |a|-2.

Hence, option third $f(a) = 5+a^{2}$ and $g(a) = \sqrt{a-5} -2$ is correct.

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chrisd2432

09.09.2022

hi how are you

Step-by-step explanation:

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