f(x)=7x-4
a) f(0)
b) f(-3)
c) f(b)
d) f(x-1)
a)
for f(0), substitute x=0 in the expression f(x) = 7x-4 to get
f(0) = 7*(0) -4 =-4
and you can calculate similarly for the other questions.
As in (a), replace by what is in parentheses:
f(x) = 7*(x) -4
f(b) = 7*(b) -4
Do the same for (d), post to check your answer if you wish.
what will i do for f(b) in problem c
is it just any number i am asking
I am not too sure what exactly your question is.
But you can do the same for any number or expression. b is a variable the value of which is yet unknown, so you leave it at that.
For example, if f(x)=x²+4x+3, then
f(x+2)=(x+2)²+4(x+2)+3
=x²+8x+15
To find the values of the given function at different inputs, we replace the input variable (x) with the specified values and evaluate the function. Let's go through each part one by one:
a) f(0): To find f(0), we substitute 0 in place of x in the function expression and simplify:
f(x) = 7x - 4
f(0) = 7(0) - 4
f(0) = -4
Therefore, f(0) is equal to -4.
b) f(-3): To find f(-3), substitute -3 in place of x in the function expression and simplify:
f(x) = 7x - 4
f(-3) = 7(-3) - 4
f(-3) = -21 - 4
f(-3) = -25
Therefore, f(-3) is equal to -25.
c) f(b): To find f(b), substitute b in place of x in the function expression and simplify:
f(x) = 7x - 4
f(b) = 7(b) - 4
f(b) = 7b - 4
Therefore, f(b) is equal to 7b - 4.
d) f(x-1): To find f(x-1), substitute (x-1) in place of x in the function expression and simplify:
f(x) = 7x - 4
f(x-1) = 7(x-1) - 4
f(x-1) = 7x - 7 - 4
f(x-1) = 7x - 11
Therefore, f(x-1) is equal to 7x - 11.