It's a function of function f(g(x))
f(x) = (x-3)/x and g(x) =5x-4
Just plug the value (5x-4) in x of f(x)
f(x) = [(5x-4) -3] / (5x-4) ==== f(x) = (5x-7)/(5x-4)
The domain are all the value of x different from 4/5 (or the number that render the denominator nil.
In short 5x-4 ≠ 0 or x≠ 4/5
Domain ={x/x ≠5/4}
Answer:
Answers:
k = 13The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Step-by-step explanation:
If this is wrong i am so sorry i tried my best.
Answer:
2.7 s (1 d.p.)
Step-by-step explanation:
Use the <u>Constant Acceleration Equations</u> where:
- s = displacement in meters
- u = initial speed in m/s
- v = final speed in m/s
- a = acceleration in m/s²
- t = time in s (seconds)
Given:
- s = 55 m
- u = 11.8 m/s
- a = 6.39 m/s²
Rearrange the equation to equal zero:
<u>Quadratic Formula</u>
Use the quadratic equation to solve for t:
As time is <u>positive</u>:
Learn more about SUVAT equations here:
brainly.com/question/26241670
CD=21
DE=16
CE=21#7:
(3x-4)+(9x+17)+(6x-31)=180 <- sum of angles in a triangle
18x-18x=180 <- Simplify
18x=198
x=11 now substitute, m<A=9*11+17, m<A=116
#8:
(10x-23)=(7x-26)+(5x-27) <- Exterior angle of triangle
10x-23=12x-53
x=30; substitute, m<A=30*5-27, m<A=123
#9:
m<R=74 <- Base angles therom
m<Q+74*2=180 <- Sum of angles in triangle
m<Q=32 <- Simplify
#10:
m<E=m<G <- Base angles therom
2m<E+106=180 <-Sum of angles in triangle
m<E=m<G=37
#11:
m<A=180-48*2
m<A=84
Triangle is isosceles so by base angles therom, AC=9 ft
#12
m<M=m<N=m<P=60 <- Triangle is equilateral
#13
2(8x-23)+34=180 <- Sum of angles in triangle
16x-12=180
16x=192
x=12
#14
3(9x-3)=180 <- Su, of angles in triangle
9x-3=60
9x=63
x=7
#15
4x+9=16x-27 <- Legs of isosceles triangle
12x=36
x=3
Now substitute
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