Answer:
Part 1) The equation that can be used is 1.8x-10=-4
Part 2) The input or x-value is x=10/3
Step-by-step explanation:
we have
f(x)=1.8x-10
g(x)=-4
To find the solution of the system of equations equate f(x) and g(x)
f(x)=g(x)
substitute
1.8x-10=-4 -----> equation that can be used to find the input value at which f (x ) = g (x )
Solve for x
Adds 10 both sides
1.8x=-4+10
1.8x=6
Divide by 1.8 both sides
x=6/1.8
Remember that
1.8=18/10
substitute
x=6/(18/10)
x=60/18
Simplify
x=10/3
Answer:
£10.71
Step-by-step explanation:
Given the original price including discount od shorts = £15
Percent discount = 40%
Original price = x
Using the expression to calculate x
x + (40%of x) = 15
x +0.4x = 15
1.4x = 15
x = 15/1.4
x = £10.71
Hence the non sale price is £10.71
Answer:
f(g(5)) = 64
g(f(5)) = 28
Step-by-step explanation:
Given that f(x) = x^2 and g(x) = x+3
f(g(x) = f(x+3)
f(x+3) = (x+3)^2
f(g(x)) = (x+3)^2
f(g(5)) = (5+3)^2
f(g(5)) = 8^2
f(g(5)) = 64
b) g(f(x)) = g(x^2)
g(f(x)) = x^2 + 3
g(f(5)) = 5^2 +3
g(f(5)) = 25 + 3
g(f(5)) = 28
Hence the value of g(f(5)) is 28
Answer:
t = 8
Step-by-step explanation:
