Evaluate the function $f(r)=\sqrt{r+1}-4$ at the given values of the independen
a. $f(-1)$
b. $f(63)$
c. $f(x-1)$
a. $f(-1)=\square($ Simplify your answer.)
b.$f(63)=\square($ Simplify your answer.)
c.$f(x-1)= \square($ Simplify your answer.)

Answer

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Answer

$\boxed{f(x-1)=\sqrt{x}-4}$

Steps

Step 1 ：Substitute $r$ with $-1$ in the function $f(r)=\sqrt{r+1}-4$

Step 2 ：Calculate $f(-1)=\sqrt{-1+1}-4=\sqrt{0}-4=0-4=-4$

Step 3 ：$\boxed{f(-1)=-4}$

Step 4 ：Substitute $r$ with $63$ in the function $f(r)=\sqrt{r+1}-4$

Step 5 ：Calculate $f(63)=\sqrt{63+1}-4=\sqrt{64}-4=8-4=4$

Step 6 ：$\boxed{f(63)=4}$

Step 7 ：Substitute $r$ with $x-1$ in the function $f(r)=\sqrt{r+1}-4$

Step 8 ：Calculate $f(x-1)=\sqrt{(x-1)+1}-4=\sqrt{x}-4$

Step 9 ：$\boxed{f(x-1)=\sqrt{x}-4}$