Answer:
40.3 m
Step-by-step explanation:
a²+b²=c²
40²+5²=c²
1600+25= 1625
√1625 = 40.3112
Let g the inverse function of f.
The most important property of g and f being inverses of each other, is that
g(f(x))=x, also f(g(x))=x
so, what one function 'does' to x, the other 'undoes' it.
Thus, we have:
f(g(x))=x and alos f(g(x))= -g(x)+3, from the rule
thus :
-g(x)+3=x
-g(x)=x-3
g(x)=-x+3
check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x
Answer: the inverse of f is g, such that g(x)=-x+3
Answer:

Step-by-step explanation:
1) Use square sum: (a + b)² = a² + 2ab + b².

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u>²</u><u> </u><u>+</u><u> </u><u>2xy</u><u> </u><u>+</u><u> </u><u>y</u><u>²</u>.
Answer:
15a+12ac+6ab
Step-by-step explanation:
3a(5 + 4c + 2b)
5*3a = 15a
4c*3a = 12ac
2b*3a = 6ab
Answer:
![\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}](https://tex.z-dn.net/?f=%5Ctext%7Bc%29%20%7D%5Csqrt%5B4%5D%7B64%7D%3D2%5Csqrt%5B4%5D%7B4%7D)
Step-by-step explanation:
![\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}](https://tex.z-dn.net/?f=%5Ctext%7Ba%29%20%7D64%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D%5C%5C%5C%5C%5Ctext%7Bb%29%20%7D%5Csqrt%5B6%5D%7B64%7D%3D2%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D%5C%5C%5C%5C%5Ctext%7Bc%29%20%7D%5Csqrt%5B4%5D%7B64%7D%3D2%5Csqrt%5B4%5D%7B4%7D%5Cqquad%5Ctextbf%7Ba%20surd%7D%5C%5C%5C%5C%5Ctext%7Bd%29%20%7D%5Csqrt%5B3%5D%7B64%7D%3D4%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D)